157757932800 has 1458 divisors, whose sum is σ = 670020725738. Its totient is φ = 36548444160.

The previous prime is 157757932747. The next prime is 157757932807. The reversal of 157757932800 is 8239757751.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 27950489856 + 129807442944 = 167184^2 + 360288^2 .

It is a tau number, because it is divible by the number of its divisors (1458).

It is a super-2 number, since 2×157757932800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157757932807) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 9279878392 + ... + 9279878408.

Almost surely, 2^157757932800 is an apocalyptic number.

157757932800 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 157757932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335010362869).

157757932800 is an abundant number, since it is smaller than the sum of its proper divisors (512262792938).

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

157757932800 is an frugal number, since it uses more digits than its factorization.

157757932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 157757932800 in words is "one hundred fifty-seven billion, seven hundred fifty-seven million, nine hundred thirty-two thousand, eight hundred".