52714755313920 has 1728 divisors, whose sum is σ = 218827843153920. Its totient is φ = 11901535027200.

The previous prime is 52714755313919. The next prime is 52714755313921. The reversal of 52714755313920 is 2931355741725.

52714755313920 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 4 + 75 + 531 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52714755313919) and next prime (52714755313921).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (52714755313921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120079169061 + ... + 120079169499.

Almost surely, 2^{52714755313920} 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 52714755313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109413921576960).

52714755313920 is an abundant number, since it is smaller than the sum of its proper divisors (166113087840000).

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

52714755313920 is a wasteful number, since it uses less digits than its factorization.

52714755313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 52714755313920 in words is "fifty-two trillion, seven hundred fourteen billion, seven hundred fifty-five million, three hundred thirteen thousand, nine hundred twenty".