53961431600 has 120 divisors (see below), whose sum is σ = 136620711072. Its totient is φ = 20441344000.

The previous prime is 53961431599. The next prime is 53961431651. The reversal of 53961431600 is 613416935.

It is a super-2 number, since 2×53961431600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900164 + ... + 958236.

Almost surely, 2^53961431600 is an apocalyptic number.

53961431600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53961431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68310355536).

53961431600 is an abundant number, since it is smaller than the sum of its proper divisors (82659279472).

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

53961431600 is a wasteful number, since it uses less digits than its factorization.

53961431600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58215 (or 58204 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 53961431600 in words is "fifty-three billion, nine hundred sixty-one million, four hundred thirty-one thousand, six hundred".