157558914809856 has 2160 divisors, whose sum is σ = 574076246047920. Its totient is φ = 42902193438720.

The previous prime is 157558914809717. The next prime is 157558914809911. The reversal of 157558914809856 is 658908419855751.

157558914809856 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 5 + 89 + 1 + 480 + 9 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1770324885460 + ... + 1770324885548.

It is an arithmetic number, because the mean of its divisors is an integer number (265776039837).

Almost surely, 2^{157558914809856} is an apocalyptic number.

157558914809856 is a gapful number since it is divisible by the number (16) 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 157558914809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287038123023960).

157558914809856 is an abundant number, since it is smaller than the sum of its proper divisors (416517331238064).

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

157558914809856 is an frugal number, since it uses more digits than its factorization.

157558914809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4354560000, while the sum is 81.

The spelling of 157558914809856 in words is "one hundred fifty-seven trillion, five hundred fifty-eight billion, nine hundred fourteen million, eight hundred nine thousand, eight hundred fifty-six".