157958553600 has 945 divisors, whose sum is σ = 613965076333. Its totient is φ = 40290877440.

The previous prime is 157958553563. The next prime is 157958553607. The reversal of 157958553600 is 6355859751.

The square root of 157958553600 is 397440.

It is a perfect power (a square), and thus also a powerful number.

157958553600 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 585 + 53 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56865079296 + 101093474304 = 238464^2 + 317952^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157958553607) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6867763189 + ... + 6867763211.

Almost surely, 2^157958553600 is an apocalyptic number.

157958553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157958553600 is the 397440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157958553600

157958553600 is an abundant number, since it is smaller than the sum of its proper divisors (456006522733).

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

157958553600 is an frugal number, since it uses more digits than its factorization.

157958553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 157958553600 in words is "one hundred fifty-seven billion, nine hundred fifty-eight million, five hundred fifty-three thousand, six hundred".