157050848640 has 384 divisors, whose sum is σ = 586821438720. Its totient is φ = 35620515840.

The previous prime is 157050848629. The next prime is 157050848681. The reversal of 157050848640 is 46848050751.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157050848640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12318109 + ... + 12330851.

It is an arithmetic number, because the mean of its divisors is an integer number (1528180830).

Almost surely, 2^157050848640 is an apocalyptic number.

157050848640 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 157050848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293410719360).

157050848640 is an abundant number, since it is smaller than the sum of its proper divisors (429770590080).

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

157050848640 is a wasteful number, since it uses less digits than its factorization.

157050848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12910 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 157050848640 in words is "one hundred fifty-seven billion, fifty million, eight hundred forty-eight thousand, six hundred forty".