53880295440384 has 1920 divisors, whose sum is σ = 201698930442240. Its totient is φ = 13861335859200.

The previous prime is 53880295440379. The next prime is 53880295440481. The reversal of 53880295440384 is 48304459208835.

53880295440384 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 0 + 2 + 9 + 544 + 0 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223569690504 + ... + 223569690744.

It is an arithmetic number, because the mean of its divisors is an integer number (105051526272).

Almost surely, 2^{53880295440384} is an apocalyptic number.

53880295440384 is a gapful number since it is divisible by the number (54) 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 53880295440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100849465221120).

53880295440384 is an abundant number, since it is smaller than the sum of its proper divisors (147818635001856).

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

53880295440384 is a wasteful number, since it uses less digits than its factorization.

53880295440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 53880295440384 in words is "fifty-three trillion, eight hundred eighty billion, two hundred ninety-five million, four hundred forty thousand, three hundred eighty-four".