157966344432000 has 1536 divisors, whose sum is σ = 649115120908800. Its totient is φ = 36492340838400.

The previous prime is 157966344431957. The next prime is 157966344432007. The reversal of 157966344432000 is 234443669751.

157966344432000 is a `hidden beast` number, since 1 + 5 + 7 + 96 + 6 + 344 + 4 + 3 + 200 + 0 = 666.

157966344432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157966344432007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3805755247 + ... + 3805796753.

It is an arithmetic number, because the mean of its divisors is an integer number (422600990175).

Almost surely, 2^{157966344432000} is an apocalyptic number.

157966344432000 is a gapful number since it is divisible by the number (10) 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 157966344432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324557560454400).

157966344432000 is an abundant number, since it is smaller than the sum of its proper divisors (491148776476800).

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

157966344432000 is a wasteful number, since it uses less digits than its factorization.

157966344432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41681 (or 41656 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 157966344432000 in words is "one hundred fifty-seven trillion, nine hundred sixty-six billion, three hundred forty-four million, four hundred thirty-two thousand".