53416461312 has 176 divisors, whose sum is σ = 158421424000. Its totient is φ = 17779875840.

The previous prime is 53416461269. The next prime is 53416461349. The reversal of 53416461312 is 21316461435.

53416461312 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 646 + 1 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×53416461312² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 38181189 + ... + 38182587.

Almost surely, 2^53416461312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53416461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79210712000).

53416461312 is an abundant number, since it is smaller than the sum of its proper divisors (105004962688).

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

53416461312 is a wasteful number, since it uses less digits than its factorization.

53416461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2785 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 53416461312 in words is "fifty-three billion, four hundred sixteen million, four hundred sixty-one thousand, three hundred twelve".