52477140400 has 240 divisors, whose sum is σ = 134708520960. Its totient is φ = 19603584000.

The previous prime is 52477140343. The next prime is 52477140407. The reversal of 52477140400 is 404177425.

It is a happy number.

It is a super-2 number, since 2×52477140400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52477140407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74860050 + ... + 74860750.

It is an arithmetic number, because the mean of its divisors is an integer number (561285504).

Almost surely, 2^52477140400 is an apocalyptic number.

52477140400 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 52477140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67354260480).

52477140400 is an abundant number, since it is smaller than the sum of its proper divisors (82231380560).

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

52477140400 is a wasteful number, since it uses less digits than its factorization.

52477140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The spelling of 52477140400 in words is "fifty-two billion, four hundred seventy-seven million, one hundred forty thousand, four hundred".