60920112400 has 405 divisors, whose sum is σ = 178662799503. Its totient is φ = 19903564800.

The previous prime is 60920112373. The next prime is 60920112401. The reversal of 60920112400 is 421102906.

The square root of 60920112400 is 246820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25642257424 + 35277854976 = 160132^2 + 187824^2 .

It is a super-2 number, since 2×60920112400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60920112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1416746779 + ... + 1416746821.

Almost surely, 2^60920112400 is an apocalyptic number.

60920112400 is the 246820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60920112400

60920112400 is an abundant number, since it is smaller than the sum of its proper divisors (117742687103).

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

60920112400 is a wasteful number, since it uses less digits than its factorization.

60920112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Multiplying 60920112400 by its sum of digits (25), we get a square (1523002810000 = 1234100²).

60920112400 divided by its sum of digits (25) gives a square (2436804496 = 49364²).

The spelling of 60920112400 in words is "sixty billion, nine hundred twenty million, one hundred twelve thousand, four hundred".