157545622080 has 1120 divisors, whose sum is σ = 704039719680. Its totient is φ = 32487505920.

The previous prime is 157545622067. The next prime is 157545622097. The reversal of 157545622080 is 80226545751.

157545622080 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 4 + 562 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 385196916 + ... + 385197324.

Almost surely, 2^157545622080 is an apocalyptic number.

157545622080 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 157545622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352019859840).

157545622080 is an abundant number, since it is smaller than the sum of its proper divisors (546494097600).

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

157545622080 is a wasteful number, since it uses less digits than its factorization.

157545622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 157545622080 in words is "one hundred fifty-seven billion, five hundred forty-five million, six hundred twenty-two thousand, eighty".