157584890880 has 220 divisors, whose sum is σ = 564696637560. Its totient is φ = 42022526976.

The previous prime is 157584890861. The next prime is 157584890917. The reversal of 157584890880 is 88098485751.

157584890880 is a `hidden beast` number, since 1 + 5 + 75 + 8 + 489 + 0 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224731 + ... + 604709.

It is an arithmetic number, because the mean of its divisors is an integer number (2566802898).

Almost surely, 2^157584890880 is an apocalyptic number.

157584890880 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 157584890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282348318780).

157584890880 is an abundant number, since it is smaller than the sum of its proper divisors (407111746680).

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

157584890880 is an equidigital number, since it uses as much as digits as its factorization.

157584890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380016 (or 379989 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 157584890880 in words is "one hundred fifty-seven billion, five hundred eighty-four million, eight hundred ninety thousand, eight hundred eighty".