27157252550400 has 1944 divisors, whose sum is σ = 119862495392640. Its totient is φ = 5742584709120.

The previous prime is 27157252550399. The next prime is 27157252550437. The reversal of 27157252550400 is 405525275172.

27157252550400 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 7 + 2 + 52 + 550 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6258871431 + ... + 6258875769.

Almost surely, 2^{27157252550400} is an apocalyptic number.

27157252550400 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 27157252550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59931247696320).

27157252550400 is an abundant number, since it is smaller than the sum of its proper divisors (92705242842240).

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

27157252550400 is a wasteful number, since it uses less digits than its factorization.

27157252550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

The spelling of 27157252550400 in words is "twenty-seven trillion, one hundred fifty-seven billion, two hundred fifty-two million, five hundred fifty thousand, four hundred".