205157699111232 has 224 divisors, whose sum is σ = 690351833456640. Its totient is φ = 58525885877760.

The previous prime is 205157699111221. The next prime is 205157699111269. The reversal of 205157699111232 is 232111996751502.

205157699111232 is a `hidden beast` number, since 2 + 0 + 51 + 576 + 9 + 9 + 1 + 1 + 12 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×205157699111232² (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 5281144 + ... + 20933367.

Almost surely, 2^{205157699111232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205157699111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345175916728320).

205157699111232 is an abundant number, since it is smaller than the sum of its proper divisors (485194134345408).

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

205157699111232 is a wasteful number, since it uses less digits than its factorization.

205157699111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26215186 (or 26215170 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 205157699111232 in words is "two hundred five trillion, one hundred fifty-seven billion, six hundred ninety-nine million, one hundred eleven thousand, two hundred thirty-two".