54665084395152 has 960 divisors, whose sum is σ = 209817820800000. Its totient is φ = 13437458012160.

The previous prime is 54665084395093. The next prime is 54665084395211. The reversal of 54665084395152 is 25159348056645.

54665084395152 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 5 + 0 + 84 + 39 + 515 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54665084395093) and next prime (54665084395211).

It is a super-3 number, since 3×54665084395152³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 54665084395152.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4640887599 + ... + 4640899377.

It is an arithmetic number, because the mean of its divisors is an integer number (218560230000).

Almost surely, 2^{54665084395152} 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 54665084395152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104908910400000).

54665084395152 is an abundant number, since it is smaller than the sum of its proper divisors (155152736404848).

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

54665084395152 is a wasteful number, since it uses less digits than its factorization.

54665084395152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 54665084395152 in words is "fifty-four trillion, six hundred sixty-five billion, eighty-four million, three hundred ninety-five thousand, one hundred fifty-two".