27420926387400 has 2880 divisors, whose sum is σ = 122574834708480. Its totient is φ = 5645861222400.

The previous prime is 27420926387353. The next prime is 27420926387419. The reversal of 27420926387400 is 478362902472.

27420926387400 is a `hidden beast` number, since 2 + 7 + 4 + 209 + 26 + 3 + 8 + 7 + 400 = 666.

27420926387400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27420926387400² (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 an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 215912806137 + ... + 215912806263.

It is an arithmetic number, because the mean of its divisors is an integer number (42560706496).

Almost surely, 2^{27420926387400} is an apocalyptic number.

27420926387400 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 27420926387400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61287417354240).

27420926387400 is an abundant number, since it is smaller than the sum of its proper divisors (95153908321080).

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

27420926387400 is a wasteful number, since it uses less digits than its factorization.

27420926387400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 27420926387400 in words is "twenty-seven trillion, four hundred twenty billion, nine hundred twenty-six million, three hundred eighty-seven thousand, four hundred".