53146633680 has 800 divisors, whose sum is σ = 218512014336. Its totient is φ = 11720982528.

The previous prime is 53146633679. The next prime is 53146633681. The reversal of 53146633680 is 8633664135.

53146633680 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 6 + 633 + 6 + 8 + 0 = 666.

53146633680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53146633679) and next prime (53146633681).

It is a super-2 number, since 2×53146633680² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (53146633681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206796112 + ... + 206796368.

Almost surely, 2^53146633680 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 53146633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109256007168).

53146633680 is an abundant number, since it is smaller than the sum of its proper divisors (165365380656).

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

53146633680 is a wasteful number, since it uses less digits than its factorization.

53146633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 53146633680 in words is "fifty-three billion, one hundred forty-six million, six hundred thirty-three thousand, six hundred eighty".