54657764100 has 81 divisors (see below), whose sum is σ = 171343711903. Its totient is φ = 14573533440.

The previous prime is 54657764087. The next prime is 54657764101. The reversal of 54657764100 is 146775645.

The square root of 54657764100 is 233790.

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

54657764100 is a `hidden beast` number, since 5 + 4 + 6 + 577 + 64 + 10 + 0 = 666.

54657764100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11868359364 + 42789404736 = 108942^2 + 206856^2 .

It is a super-2 number, since 2×54657764100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54657764101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7009804 + ... + 7017596.

Almost surely, 2^54657764100 is an apocalyptic number.

54657764100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54657764100 is the 233790-th square number.

It is an amenable number.

54657764100 is an abundant number, since it is smaller than the sum of its proper divisors (116685947803).

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

54657764100 is an equidigital number, since it uses as much as digits as its factorization.

54657764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 54657764100 in words is "fifty-four billion, six hundred fifty-seven million, seven hundred sixty-four thousand, one hundred".