52654327113600 has 1152 divisors, whose sum is σ = 202641267628800. Its totient is φ = 12975427584000.

The previous prime is 52654327113599. The next prime is 52654327113601. The reversal of 52654327113600 is 631172345625.

52654327113600 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 4 + 3 + 27 + 1 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (52654327113599) and next prime (52654327113601).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52654327113601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34847336845 + ... + 34847338355.

It is an arithmetic number, because the mean of its divisors is an integer number (175903878150).

Almost surely, 2^{52654327113600} is an apocalyptic number.

52654327113600 is a gapful number since it is divisible by the number (50) 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 52654327113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101320633814400).

52654327113600 is an abundant number, since it is smaller than the sum of its proper divisors (149986940515200).

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

52654327113600 is a wasteful number, since it uses less digits than its factorization.

52654327113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 52654327113600 in words is "fifty-two trillion, six hundred fifty-four billion, three hundred twenty-seven million, one hundred thirteen thousand, six hundred".