53146680984 has 320 divisors, whose sum is σ = 171284889600. Its totient is φ = 15284505600.

The previous prime is 53146680947. The next prime is 53146680989. The reversal of 53146680984 is 48908664135.

53146680984 is a `hidden beast` number, since 531 + 46 + 68 + 0 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 53146680984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53146680989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6484329 + ... + 6492519.

It is an arithmetic number, because the mean of its divisors is an integer number (535265280).

Almost surely, 2^53146680984 is an apocalyptic number.

53146680984 is a gapful number since it is divisible by the number (54) 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 53146680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85642444800).

53146680984 is an abundant number, since it is smaller than the sum of its proper divisors (118138208616).

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

53146680984 is a wasteful number, since it uses less digits than its factorization.

53146680984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 53146680984 in words is "fifty-three billion, one hundred forty-six million, six hundred eighty thousand, nine hundred eighty-four".