53892843264 has 432 divisors, whose sum is σ = 175492541952. Its totient is φ = 16396038144.

The previous prime is 53892843259. The next prime is 53892843269. The reversal of 53892843264 is 46234829835.

53892843264 is a `hidden beast` number, since 5 + 38 + 9 + 284 + 326 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (53892843259) and next prime (53892843269).

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (9953280) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 53892843264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53892843269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83296189 + ... + 83296835.

It is an arithmetic number, because the mean of its divisors is an integer number (406232736).

Almost surely, 2^53892843264 is an apocalyptic number.

53892843264 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 53892843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87746270976).

53892843264 is an abundant number, since it is smaller than the sum of its proper divisors (121599698688).

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

53892843264 is a wasteful number, since it uses less digits than its factorization.

53892843264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 53892843264 in words is "fifty-three billion, eight hundred ninety-two million, eight hundred forty-three thousand, two hundred sixty-four".