53814219264 has 160 divisors (see below), whose sum is σ = 171547770240. Its totient is φ = 16558166016.

The previous prime is 53814219233. The next prime is 53814219281. The reversal of 53814219264 is 46291241835.

53814219264 is a `hidden beast` number, since 5 + 3 + 81 + 421 + 92 + 64 = 666.

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, 29989 + ... + 329435.

It is an arithmetic number, because the mean of its divisors is an integer number (1072173564).

Almost surely, 2^53814219264 is an apocalyptic number.

53814219264 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 53814219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85773885120).

53814219264 is an abundant number, since it is smaller than the sum of its proper divisors (117733550976).

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

53814219264 is a wasteful number, since it uses less digits than its factorization.

53814219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299487 (or 299465 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 53814219264 in words is "fifty-three billion, eight hundred fourteen million, two hundred nineteen thousand, two hundred sixty-four".