54638004363264 has 840 divisors, whose sum is σ = 190615600794960. Its totient is φ = 15550335811584.

The previous prime is 54638004363227. The next prime is 54638004363281. The reversal of 54638004363264 is 46236340083645.

54638004363264 is a `hidden beast` number, since 5 + 46 + 3 + 80 + 0 + 436 + 32 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54638004363264.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 8746275789 + ... + 8746282035.

Almost surely, 2^{54638004363264} is an apocalyptic number.

54638004363264 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 54638004363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95307800397480).

54638004363264 is an abundant number, since it is smaller than the sum of its proper divisors (135977596431696).

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

54638004363264 is an equidigital number, since it uses as much as digits as its factorization.

54638004363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 54638004363264 in words is "fifty-four trillion, six hundred thirty-eight billion, four million, three hundred sixty-three thousand, two hundred sixty-four".