157478584320 has 512 divisors, whose sum is σ = 567229017600. Its totient is φ = 41448112128.

The previous prime is 157478584267. The next prime is 157478584343. The reversal of 157478584320 is 23485874751.

157478584320 is a `hidden beast` number, since 1 + 57 + 4 + 7 + 8 + 584 + 3 + 2 + 0 = 666.

157478584320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429096777 + ... + 429097143.

It is an arithmetic number, because the mean of its divisors is an integer number (1107869175).

Almost surely, 2^157478584320 is an apocalyptic number.

157478584320 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 157478584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283614508800).

157478584320 is an abundant number, since it is smaller than the sum of its proper divisors (409750433280).

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

157478584320 is an frugal number, since it uses more digits than its factorization.

157478584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 157478584320 in words is "one hundred fifty-seven billion, four hundred seventy-eight million, five hundred eighty-four thousand, three hundred twenty".