27125930786400 has 1008 divisors, whose sum is σ = 100124414627328. Its totient is φ = 7172862336000.

The previous prime is 27125930786387. The next prime is 27125930786407. The reversal of 27125930786400 is 468703952172.

It is a happy number.

27125930786400 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 593 + 0 + 7 + 8 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×27125930786400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27125930786407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 62937194185 + ... + 62937194615.

It is an arithmetic number, because the mean of its divisors is an integer number (99329776416).

It is a 1-persistent number, because it is pandigital, but 2⋅27125930786400 = 54251861572800 is not.

Almost surely, 2^{27125930786400} is an apocalyptic number.

27125930786400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27125930786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50062207313664).

27125930786400 is an abundant number, since it is smaller than the sum of its proper divisors (72998483840928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27125930786400 is a wasteful number, since it uses less digits than its factorization.

27125930786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27125930786400 in words is "twenty-seven trillion, one hundred twenty-five billion, nine hundred thirty million, seven hundred eighty-six thousand, four hundred".