54307641600 has 243 divisors, whose sum is σ = 194362242529. Its totient is φ = 14467123200.

The previous prime is 54307641593. The next prime is 54307641611. The reversal of 54307641600 is 614670345.

It is a happy number.

The square root of 54307641600 is 233040.

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

54307641600 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 7 + 6 + 41 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19550750976 + 34756890624 = 139824^2 + 186432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55929115 + ... + 55930085.

Almost surely, 2^54307641600 is an apocalyptic number.

54307641600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54307641600 is the 233040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54307641600

54307641600 is an abundant number, since it is smaller than the sum of its proper divisors (140054600929).

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

54307641600 is an frugal number, since it uses more digits than its factorization.

54307641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 54307641600 by its sum of digits (36), we get a square (1955075097600 = 1398240²).

54307641600 divided by its sum of digits (36) gives a square (1508545600 = 38840²).

The spelling of 54307641600 in words is "fifty-four billion, three hundred seven million, six hundred forty-one thousand, six hundred".