157663216000 has 512 divisors, whose sum is σ = 430998796800. Its totient is φ = 57148416000.

The previous prime is 157663215989. The next prime is 157663216031. The reversal of 157663216000 is 612366751.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 1203535935 + ... + 1203536065.

It is an arithmetic number, because the mean of its divisors is an integer number (841794525).

Almost surely, 2^157663216000 is an apocalyptic number.

157663216000 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 157663216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215499398400).

157663216000 is an abundant number, since it is smaller than the sum of its proper divisors (273335580800).

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

157663216000 is a wasteful number, since it uses less digits than its factorization.

157663216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 157663216000 in words is "one hundred fifty-seven billion, six hundred sixty-three million, two hundred sixteen thousand".