157955413616 has 320 divisors, whose sum is σ = 422842269696. Its totient is φ = 55172275200.

The previous prime is 157955413559. The next prime is 157955413643. The reversal of 157955413616 is 616314559751.

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, 145312625 + ... + 145313711.

Almost surely, 2^157955413616 is an apocalyptic number.

157955413616 is a gapful number since it is divisible by the number (16) 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 157955413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211421134848).

157955413616 is an abundant number, since it is smaller than the sum of its proper divisors (264886856080).

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

157955413616 is a wasteful number, since it uses less digits than its factorization.

157955413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 53.

The spelling of 157955413616 in words is "one hundred fifty-seven billion, nine hundred fifty-five million, four hundred thirteen thousand, six hundred sixteen".