157851532800 has 720 divisors, whose sum is σ = 614577643680. Its totient is φ = 38459473920.

The previous prime is 157851532789. The next prime is 157851532801. The reversal of 157851532800 is 8235158751.

157851532800 is a `hidden beast` number, since 1 + 57 + 8 + 515 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157851532801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163237917 + ... + 163238883.

Almost surely, 2^157851532800 is an apocalyptic number.

157851532800 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 157851532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307288821840).

157851532800 is an abundant number, since it is smaller than the sum of its proper divisors (456726110880).

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

157851532800 is a wasteful number, since it uses less digits than its factorization.

157851532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 157851532800 in words is "one hundred fifty-seven billion, eight hundred fifty-one million, five hundred thirty-two thousand, eight hundred".