52795142400 has 1728 divisors, whose sum is σ = 243220432896. Its totient is φ = 9732096000.

The previous prime is 52795142371. The next prime is 52795142423. The reversal of 52795142400 is 424159725.

It is a super-2 number, since 2×52795142400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 787987167 + ... + 787987233.

Almost surely, 2^52795142400 is an apocalyptic number.

52795142400 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 52795142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121610216448).

52795142400 is an abundant number, since it is smaller than the sum of its proper divisors (190425290496).

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

52795142400 is a wasteful number, since it uses less digits than its factorization.

52795142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 52795142400 in words is "fifty-two billion, seven hundred ninety-five million, one hundred forty-two thousand, four hundred".