53214824033280 has 2816 divisors, whose sum is σ = 244314282885120. Its totient is φ = 10682656358400.

The previous prime is 53214824033233. The next prime is 53214824033299. The reversal of 53214824033280 is 8233042841235.

53214824033280 is a `hidden beast` number, since 5 + 3 + 21 + 482 + 40 + 3 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23788476322 + ... + 23788478558.

Almost surely, 2^{53214824033280} 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 53214824033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122157141442560).

53214824033280 is an abundant number, since it is smaller than the sum of its proper divisors (191099458851840).

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

53214824033280 is a wasteful number, since it uses less digits than its factorization.

53214824033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 53214824033280 in words is "fifty-three trillion, two hundred fourteen billion, eight hundred twenty-four million, thirty-three thousand, two hundred eighty".