157604823040 has 480 divisors, whose sum is σ = 452971008000. Its totient is φ = 52600504320.

The previous prime is 157604823023. The next prime is 157604823073. The reversal of 157604823040 is 40328406751.

157604823040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 157604822984 and 157604823002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1994997721 + ... + 1994997799.

It is an arithmetic number, because the mean of its divisors is an integer number (943689600).

Almost surely, 2^157604823040 is an apocalyptic number.

157604823040 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 157604823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226485504000).

157604823040 is an abundant number, since it is smaller than the sum of its proper divisors (295366184960).

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

157604823040 is an frugal number, since it uses more digits than its factorization.

157604823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 157604823040 in words is "one hundred fifty-seven billion, six hundred four million, eight hundred twenty-three thousand, forty".