53819360100 has 729 divisors, whose sum is σ = 201128585931. Its totient is φ = 12026361600.

The previous prime is 53819360093. The next prime is 53819360113. The reversal of 53819360100 is 106391835.

It is a happy number.

The square root of 53819360100 is 231990.

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

53819360100 is a `hidden beast` number, since 5 + 38 + 19 + 3 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5109104484 + 48710255616 = 71478^2 + 220704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1454577282 + ... + 1454577318.

Almost surely, 2^53819360100 is an apocalyptic number.

53819360100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53819360100 is the 231990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53819360100

53819360100 is an abundant number, since it is smaller than the sum of its proper divisors (147309225831).

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

53819360100 is a wasteful number, since it uses less digits than its factorization.

53819360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 53819360100 by its sum of digits (36), we get a square (1937496963600 = 1391940²).

53819360100 divided by its sum of digits (36) gives a square (1494982225 = 38665²).

The spelling of 53819360100 in words is "fifty-three billion, eight hundred nineteen million, three hundred sixty thousand, one hundred".