53520099840 has 640 divisors, whose sum is σ = 202937011200. Its totient is φ = 13330759680.

The previous prime is 53520099827. The next prime is 53520099917. The reversal of 53520099840 is 4899002535.

53520099840 is a `hidden beast` number, since 535 + 20 + 0 + 9 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 109001995 + ... + 109002485.

It is an arithmetic number, because the mean of its divisors is an integer number (317089080).

Almost surely, 2^53520099840 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 53520099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468505600).

53520099840 is an abundant number, since it is smaller than the sum of its proper divisors (149416911360).

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

53520099840 is a wasteful number, since it uses less digits than its factorization.

53520099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 53520099840 in words is "fifty-three billion, five hundred twenty million, ninety-nine thousand, eight hundred forty".