52493636120832 has 1152 divisors, whose sum is σ = 172820912947200. Its totient is φ = 15651333734400.

The previous prime is 52493636120831. The next prime is 52493636120881. The reversal of 52493636120832 is 23802163639425.

52493636120832 is a `hidden beast` number, since 5 + 2 + 49 + 3 + 6 + 361 + 208 + 32 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (52493636120831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45527871168 + ... + 45527872320.

It is an arithmetic number, because the mean of its divisors is an integer number (150018153600).

Almost surely, 2^{52493636120832} 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 52493636120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86410456473600).

52493636120832 is an abundant number, since it is smaller than the sum of its proper divisors (120327276826368).

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

52493636120832 is a wasteful number, since it uses less digits than its factorization.

52493636120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 52493636120832 in words is "fifty-two trillion, four hundred ninety-three billion, six hundred thirty-six million, one hundred twenty thousand, eight hundred thirty-two".