6157552161600 has 504 divisors, whose sum is σ = 26099361974400. Its totient is φ = 1346246922240.

The previous prime is 6157552161581. The next prime is 6157552161601. The reversal of 6157552161600 is 61612557516.

It is a happy number.

6157552161600 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 5 + 5 + 21 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157552161601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 990426 + ... + 3646374.

Almost surely, 2^{6157552161600} is an apocalyptic number.

6157552161600 is a gapful number since it is divisible by the number (60) 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 6157552161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049680987200).

6157552161600 is an abundant number, since it is smaller than the sum of its proper divisors (19941809812800).

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

6157552161600 is a wasteful number, since it uses less digits than its factorization.

6157552161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656007 (or 2655989 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 6157552161600 in words is "six trillion, one hundred fifty-seven billion, five hundred fifty-two million, one hundred sixty-one thousand, six hundred".