157452422400 has 3456 divisors, whose sum is σ = 817547673600. Its totient is φ = 28665446400.

The previous prime is 157452422389. The next prime is 157452422437. The reversal of 157452422400 is 4224254751.

157452422400 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 5 + 242 + 2 + 400 = 666.

157452422400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5079110385 + ... + 5079110415.

Almost surely, 2^157452422400 is an apocalyptic number.

157452422400 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 157452422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408773836800).

157452422400 is an abundant number, since it is smaller than the sum of its proper divisors (660095251200).

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

157452422400 is a wasteful number, since it uses less digits than its factorization.

157452422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 157452422400 in words is "one hundred fifty-seven billion, four hundred fifty-two million, four hundred twenty-two thousand, four hundred".