53253544064400 has 720 divisors, whose sum is σ = 192332940403968. Its totient is φ = 13634224128000.

The previous prime is 53253544064377. The next prime is 53253544064411. The reversal of 53253544064400 is 446044535235.

53253544064400 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 3 + 544 + 0 + 64 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6046724797 + ... + 6046733603.

Almost surely, 2^{53253544064400} is an apocalyptic number.

53253544064400 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 53253544064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96166470201984).

53253544064400 is an abundant number, since it is smaller than the sum of its proper divisors (139079396339568).

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

53253544064400 is a wasteful number, since it uses less digits than its factorization.

53253544064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 53253544064400 its reverse (446044535235), we get a palindrome (53699588599635).

The spelling of 53253544064400 in words is "fifty-three trillion, two hundred fifty-three billion, five hundred forty-four million, sixty-four thousand, four hundred".