54753955752384 has 252 divisors, whose sum is σ = 187018387880688. Its totient is φ = 15262426368000.

The previous prime is 54753955752383. The next prime is 54753955752403. The reversal of 54753955752384 is 48325755935745.

54753955752384 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 3 + 95 + 5 + 7 + 523 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54753955752383) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22501092 + ... + 24815459.

It is an arithmetic number, because the mean of its divisors is an integer number (742136459844).

Almost surely, 2^{54753955752384} is an apocalyptic number.

It is an amenable number.

54753955752384 is an abundant number, since it is smaller than the sum of its proper divisors (132264432128304).

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

54753955752384 is a wasteful number, since it uses less digits than its factorization.

54753955752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47316624 (or 47316604 counting only the distinct ones).

The product of its digits is 3175200000, while the sum is 72.

The spelling of 54753955752384 in words is "fifty-four trillion, seven hundred fifty-three billion, nine hundred fifty-five million, seven hundred fifty-two thousand, three hundred eighty-four".