27457151040 has 448 divisors, whose sum is σ = 106181591040. Its totient is φ = 6624000000.

The previous prime is 27457151039. The next prime is 27457151083. The reversal of 27457151040 is 4015175472.

27457151040 is a `hidden beast` number, since 2 + 74 + 5 + 71 + 510 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27457150986 and 27457151004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23854465 + ... + 23855615.

It is an arithmetic number, because the mean of its divisors is an integer number (237012480).

Almost surely, 2^27457151040 is an apocalyptic number.

27457151040 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 27457151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090795520).

27457151040 is an abundant number, since it is smaller than the sum of its proper divisors (78724440000).

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

27457151040 is a wasteful number, since it uses less digits than its factorization.

27457151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 27457151040 in words is "twenty-seven billion, four hundred fifty-seven million, one hundred fifty-one thousand, forty".