157820335200 has 1008 divisors, whose sum is σ = 640696086576. Its totient is φ = 37623398400.

The previous prime is 157820335157. The next prime is 157820335201. The reversal of 157820335200 is 2533028751.

It is a happy number.

157820335200 is a `hidden beast` number, since 1 + 57 + 82 + 0 + 3 + 3 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157820335201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 468309432 + ... + 468309768.

It is an arithmetic number, because the mean of its divisors is an integer number (635611197).

Almost surely, 2^157820335200 is an apocalyptic number.

157820335200 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 157820335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320348043288).

157820335200 is an abundant number, since it is smaller than the sum of its proper divisors (482875751376).

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

157820335200 is a wasteful number, since it uses less digits than its factorization.

157820335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 157820335200 in words is "one hundred fifty-seven billion, eight hundred twenty million, three hundred thirty-five thousand, two hundred".