157375895040 has 720 divisors, whose sum is σ = 682857263088. Its totient is φ = 33201487872.

The previous prime is 157375894997. The next prime is 157375895041. The reversal of 157375895040 is 40598573751.

157375895040 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 7 + 589 + 50 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157375895041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14671119 + ... + 14681841.

Almost surely, 2^157375895040 is an apocalyptic number.

157375895040 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 157375895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341428631544).

157375895040 is an abundant number, since it is smaller than the sum of its proper divisors (525481368048).

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

157375895040 is a wasteful number, since it uses less digits than its factorization.

157375895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 157375895040 in words is "one hundred fifty-seven billion, three hundred seventy-five million, eight hundred ninety-five thousand, forty".