27251213829840 has 960 divisors, whose sum is σ = 127429336000512. Its totient is φ = 5227002316800.

The previous prime is 27251213829839. The next prime is 27251213829869. The reversal of 27251213829840 is 4892831215272.

It is a happy number.

27251213829840 is a `hidden beast` number, since 2 + 7 + 2 + 512 + 1 + 3 + 82 + 9 + 8 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 18759235 + ... + 20159645.

Almost surely, 2^{27251213829840} is an apocalyptic number.

27251213829840 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 27251213829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63714668000256).

27251213829840 is an abundant number, since it is smaller than the sum of its proper divisors (100178122170672).

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

27251213829840 is a wasteful number, since it uses less digits than its factorization.

27251213829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400470 (or 1400452 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 27251213829840 in words is "twenty-seven trillion, two hundred fifty-one billion, two hundred thirteen million, eight hundred twenty-nine thousand, eight hundred forty".