157753070160 has 320 divisors, whose sum is σ = 580366425600. Its totient is φ = 34682167296.

The previous prime is 157753070141. The next prime is 157753070177. The reversal of 157753070160 is 61070357751.

157753070160 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157753070160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13099662 + ... + 13111698.

It is an arithmetic number, because the mean of its divisors is an integer number (1813645080).

Almost surely, 2^157753070160 is an apocalyptic number.

157753070160 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 157753070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290183212800).

157753070160 is an abundant number, since it is smaller than the sum of its proper divisors (422613355440).

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

157753070160 is a wasteful number, since it uses less digits than its factorization.

157753070160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The spelling of 157753070160 in words is "one hundred fifty-seven billion, seven hundred fifty-three million, seventy thousand, one hundred sixty".