157583645280 has 144 divisors (see below), whose sum is σ = 552288273264. Its totient is φ = 40886553600.

The previous prime is 157583645249. The next prime is 157583645309. The reversal of 157583645280 is 82546385751.

157583645280 is a `hidden beast` number, since 1 + 5 + 7 + 58 + 3 + 64 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1425546 + ... + 1532105.

It is an arithmetic number, because the mean of its divisors is an integer number (3835335231).

Almost surely, 2^157583645280 is an apocalyptic number.

157583645280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157583645280 is an abundant number, since it is smaller than the sum of its proper divisors (394704627984).

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

157583645280 is a wasteful number, since it uses less digits than its factorization.

157583645280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957709 (or 2957698 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 157583645280 in words is "one hundred fifty-seven billion, five hundred eighty-three million, six hundred forty-five thousand, two hundred eighty".