157977789696000 has 1536 divisors, whose sum is σ = 622412240486400. Its totient is φ = 39436561612800.

The previous prime is 157977789695989. The next prime is 157977789696031. The reversal of 157977789696000 is 696987779751.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7471861429 + ... + 7471882571.

It is an arithmetic number, because the mean of its divisors is an integer number (405216302400).

Almost surely, 2^{157977789696000} is an apocalyptic number.

157977789696000 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 157977789696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311206120243200).

157977789696000 is an abundant number, since it is smaller than the sum of its proper divisors (464434450790400).

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

157977789696000 is a wasteful number, since it uses less digits than its factorization.

157977789696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21259 (or 21223 counting only the distinct ones).

The product of its (nonzero) digits is 2520473760, while the sum is 81.

The spelling of 157977789696000 in words is "one hundred fifty-seven trillion, nine hundred seventy-seven billion, seven hundred eighty-nine million, six hundred ninety-six thousand".