53084860416 has 312 divisors, whose sum is σ = 185566646304. Its totient is φ = 14273740800.

The previous prime is 53084860397. The next prime is 53084860447. The reversal of 53084860416 is 61406848035.

53084860416 is a `hidden beast` number, since 5 + 30 + 8 + 4 + 8 + 604 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4380766 + ... + 4392866.

It is an arithmetic number, because the mean of its divisors is an integer number (594764892).

Almost surely, 2^53084860416 is an apocalyptic number.

53084860416 is a gapful number since it is divisible by the number (56) 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 53084860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92783323152).

53084860416 is an abundant number, since it is smaller than the sum of its proper divisors (132481785888).

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

53084860416 is a wasteful number, since it uses less digits than its factorization.

53084860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 53084860416 in words is "fifty-three billion, eighty-four million, eight hundred sixty thousand, four hundred sixteen".