157050481051800 has 2880 divisors, whose sum is σ = 683238948480000. Its totient is φ = 33406324922880.

The previous prime is 157050481051697. The next prime is 157050481051813. The reversal of 157050481051800 is 8150184050751.

157050481051800 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 50 + 4 + 81 + 0 + 518 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 118350022737 + ... + 118350024063.

It is an arithmetic number, because the mean of its divisors is an integer number (237235746000).

Almost surely, 2^{157050481051800} is an apocalyptic number.

157050481051800 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 157050481051800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341619474240000).

157050481051800 is an abundant number, since it is smaller than the sum of its proper divisors (526188467428200).

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

157050481051800 is a wasteful number, since it uses less digits than its factorization.

157050481051800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 157050481051800 in words is "one hundred fifty-seven trillion, fifty billion, four hundred eighty-one million, fifty-one thousand, eight hundred".