157098961797120 has 1680 divisors, whose sum is σ = 659195292792960. Its totient is φ = 35044718542848.

The previous prime is 157098961797097. The next prime is 157098961797131. The reversal of 157098961797120 is 21797169890751.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127826656666 + ... + 127826657894.

It is an arithmetic number, because the mean of its divisors is an integer number (392378150472).

Almost surely, 2^{157098961797120} is an apocalyptic number.

157098961797120 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 157098961797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329597646396480).

157098961797120 is an abundant number, since it is smaller than the sum of its proper divisors (502096330995840).

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

157098961797120 is an frugal number, since it uses more digits than its factorization.

157098961797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 72.

The spelling of 157098961797120 in words is "one hundred fifty-seven trillion, ninety-eight billion, nine hundred sixty-one million, seven hundred ninety-seven thousand, one hundred twenty".