52756461542400 has 2112 divisors, whose sum is σ = 232130733825024. Its totient is φ = 10315156684800.

The previous prime is 52756461542321. The next prime is 52756461542401. The reversal of 52756461542400 is 424516465725.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52756461542401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12164273032 + ... + 12164277368.

Almost surely, 2^{52756461542400} is an apocalyptic number.

52756461542400 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 52756461542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116065366912512).

52756461542400 is an abundant number, since it is smaller than the sum of its proper divisors (179374272282624).

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

52756461542400 is a wasteful number, since it uses less digits than its factorization.

52756461542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 52756461542400 in words is "fifty-two trillion, seven hundred fifty-six billion, four hundred sixty-one million, five hundred forty-two thousand, four hundred".