157357049856 has 192 divisors, whose sum is σ = 424569600000. Its totient is φ = 51825033216.

The previous prime is 157357049789. The next prime is 157357049869. The reversal of 157357049856 is 658940753751.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×157357049856² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157357049856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218855065 + ... + 218855783.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300000).

Almost surely, 2^157357049856 is an apocalyptic number.

157357049856 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 157357049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800000).

157357049856 is an abundant number, since it is smaller than the sum of its proper divisors (267212550144).

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

157357049856 is a wasteful number, since it uses less digits than its factorization.

157357049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 157357049856 in words is "one hundred fifty-seven billion, three hundred fifty-seven million, forty-nine thousand, eight hundred fifty-six".