157774848000 has 1792 divisors, whose sum is σ = 706613207040. Its totient is φ = 30277632000.

The previous prime is 157774847939. The next prime is 157774848001. The reversal of 157774848000 is 848477751.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×157774848000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157774848001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5440511986 + ... + 5440512014.

Almost surely, 2^157774848000 is an apocalyptic number.

157774848000 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 157774848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353306603520).

157774848000 is an abundant number, since it is smaller than the sum of its proper divisors (548838359040).

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

157774848000 is a wasteful number, since it uses less digits than its factorization.

157774848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 51.

The spelling of 157774848000 in words is "one hundred fifty-seven billion, seven hundred seventy-four million, eight hundred forty-eight thousand".