53645242982400 has 1008 divisors, whose sum is σ = 207942936050304. Its totient is φ = 13683132334080.

The previous prime is 53645242982381. The next prime is 53645242982431. The reversal of 53645242982400 is 428924254635.

53645242982400 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 524 + 2 + 98 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1144603767 + ... + 1144650633.

It is an arithmetic number, because the mean of its divisors is an integer number (206292595288).

Almost surely, 2^{53645242982400} is an apocalyptic number.

53645242982400 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 53645242982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103971468025152).

53645242982400 is an abundant number, since it is smaller than the sum of its proper divisors (154297693067904).

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

53645242982400 is an equidigital number, since it uses as much as digits as its factorization.

53645242982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46941 (or 46900 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 53645242982400 in words is "fifty-three trillion, six hundred forty-five billion, two hundred forty-two million, nine hundred eighty-two thousand, four hundred".