157826430992384 has 272 divisors, whose sum is σ = 397360296153600. Its totient is φ = 60893618503680.

The previous prime is 157826430992371. The next prime is 157826430992401. The reversal of 157826430992384 is 483299034628751.

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 15 ways as a sum of consecutive naturals, for example, 519614192 + ... + 519917840.

It is a 1-persistent number, because it is pandigital, but 2⋅157826430992384 = 315652861984768 is not.

Almost surely, 2^{157826430992384} is an apocalyptic number.

157826430992384 is a gapful number since it is divisible by the number (14) 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 157826430992384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198680148076800).

157826430992384 is an abundant number, since it is smaller than the sum of its proper divisors (239533865161216).

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

157826430992384 is an equidigital number, since it uses as much as digits as its factorization.

157826430992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303802 (or 303772 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 71.

The spelling of 157826430992384 in words is "one hundred fifty-seven trillion, eight hundred twenty-six billion, four hundred thirty million, nine hundred ninety-two thousand, three hundred eighty-four".