52401835598112 has 5184 divisors, whose sum is σ = 233066901674880. Its totient is φ = 11422463754240.

The previous prime is 52401835598107. The next prime is 52401835598153. The reversal of 52401835598112 is 21189553810425.

It is a happy number.

52401835598112 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 1 + 8 + 3 + 559 + 81 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 376991622939 + ... + 376991623077.

It is an arithmetic number, because the mean of its divisors is an integer number (44958893070).

Almost surely, 2^{52401835598112} is an apocalyptic number.

52401835598112 is a gapful number since it is divisible by the number (52) 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 52401835598112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116533450837440).

52401835598112 is an abundant number, since it is smaller than the sum of its proper divisors (180665066076768).

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

52401835598112 is a wasteful number, since it uses less digits than its factorization.

52401835598112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 52401835598112 in words is "fifty-two trillion, four hundred one billion, eight hundred thirty-five million, five hundred ninety-eight thousand, one hundred twelve".