53645242622400 has 2016 divisors, whose sum is σ = 238232100794688. Its totient is φ = 11248179609600.

The previous prime is 53645242622369. The next prime is 53645242622401. The reversal of 53645242622400 is 422624254635.

53645242622400 is a `hidden beast` number, since 5 + 3 + 64 + 524 + 2 + 6 + 22 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53645242622401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8156487912 + ... + 8156494488.

It is an arithmetic number, because the mean of its divisors is an integer number (118170684918).

Almost surely, 2^{53645242622400} is an apocalyptic number.

53645242622400 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 53645242622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119116050397344).

53645242622400 is an abundant number, since it is smaller than the sum of its proper divisors (184586858172288).

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

53645242622400 is a wasteful number, since it uses less digits than its factorization.

53645242622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 53645242622400 in words is "fifty-three trillion, six hundred forty-five billion, two hundred forty-two million, six hundred twenty-two thousand, four hundred".