52816619520 has 1152 divisors, whose sum is σ = 228953088000. Its totient is φ = 10988421120.

The previous prime is 52816619497. The next prime is 52816619521. The reversal of 52816619520 is 2591661825.

52816619520 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 6 + 619 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (52816619521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379975611 + ... + 379975749.

It is an arithmetic number, because the mean of its divisors is an integer number (198744000).

Almost surely, 2^52816619520 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 52816619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544000).

52816619520 is an abundant number, since it is smaller than the sum of its proper divisors (176136468480).

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

52816619520 is a wasteful number, since it uses less digits than its factorization.

52816619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 52816619520 in words is "fifty-two billion, eight hundred sixteen million, six hundred nineteen thousand, five hundred twenty".