157788933120 has 1760 divisors, whose sum is σ = 721042616448. Its totient is φ = 32105299968.

The previous prime is 157788933079. The next prime is 157788933149. The reversal of 157788933120 is 21339887751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1396362184 + ... + 1396362296.

Almost surely, 2^157788933120 is an apocalyptic number.

157788933120 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 157788933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360521308224).

157788933120 is an abundant number, since it is smaller than the sum of its proper divisors (563253683328).

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

157788933120 is a wasteful number, since it uses less digits than its factorization.

157788933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 157788933120 in words is "one hundred fifty-seven billion, seven hundred eighty-eight million, nine hundred thirty-three thousand, one hundred twenty".