157890206791680 has 768 divisors, whose sum is σ = 588284826554880. Its totient is φ = 36024701419520.

The previous prime is 157890206791627. The next prime is 157890206791703. The reversal of 157890206791680 is 86197602098751.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694987867 + ... + 695215013.

It is an arithmetic number, because the mean of its divisors is an integer number (765995867910).

Almost surely, 2^{157890206791680} is an apocalyptic number.

157890206791680 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 157890206791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294142413277440).

157890206791680 is an abundant number, since it is smaller than the sum of its proper divisors (430394619763200).

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

157890206791680 is a wasteful number, since it uses less digits than its factorization.

157890206791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227227 (or 227185 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 69.

The spelling of 157890206791680 in words is "one hundred fifty-seven trillion, eight hundred ninety billion, two hundred six million, seven hundred ninety-one thousand, six hundred eighty".