53420563722240 has 4992 divisors, whose sum is σ = 249241462041600. Its totient is φ = 10663546060800.

The previous prime is 53420563722233. The next prime is 53420563722283. The reversal of 53420563722240 is 4222736502435.

53420563722240 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 0 + 5 + 637 + 2 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1443799019502 + ... + 1443799019538.

Almost surely, 2^{53420563722240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53420563722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124620731020800).

53420563722240 is an abundant number, since it is smaller than the sum of its proper divisors (195820898319360).

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

53420563722240 is a wasteful number, since it uses less digits than its factorization.

53420563722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 53420563722240 in words is "fifty-three trillion, four hundred twenty billion, five hundred sixty-three million, seven hundred twenty-two thousand, two hundred forty".