53763696900 has 243 divisors, whose sum is σ = 172742561173. Its totient is φ = 13986398400.

The previous prime is 53763696881. The next prime is 53763696913. The reversal of 53763696900 is 969636735.

It is a happy number.

The square root of 53763696900 is 231870.

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

It can be written as a sum of positive squares in only one way, i.e., 19354930884 + 34408766016 = 139122^2 + 185496^2 .

It is a super-2 number, since 2×53763696900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 410409835 + ... + 410409965.

Almost surely, 2^53763696900 is an apocalyptic number.

53763696900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53763696900 is the 231870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53763696900

53763696900 is an abundant number, since it is smaller than the sum of its proper divisors (118978864273).

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

53763696900 is a wasteful number, since it uses less digits than its factorization.

53763696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 53763696900 in words is "fifty-three billion, seven hundred sixty-three million, six hundred ninety-six thousand, nine hundred".