157534849105920 has 5120 divisors, whose sum is σ = 742405897094400. Its totient is φ = 31310311587840.

The previous prime is 157534849105867. The next prime is 157534849105927. The reversal of 157534849105920 is 29501948435751.

It is a happy number.

157534849105920 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 34 + 8 + 4 + 9 + 1 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is not an unprimeable number, because it can be changed into a prime (157534849105927) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 612976066432 + ... + 612976066688.

Almost surely, 2^{157534849105920} is an apocalyptic number.

157534849105920 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 157534849105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371202948547200).

157534849105920 is an abundant number, since it is smaller than the sum of its proper divisors (584871047988480).

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

157534849105920 is a wasteful number, since it uses less digits than its factorization.

157534849105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 157534849105920 in words is "one hundred fifty-seven trillion, five hundred thirty-four billion, eight hundred forty-nine million, one hundred five thousand, nine hundred twenty".