54191965464000 has 896 divisors, whose sum is σ = 244706919475200. Its totient is φ = 11433905049600.

The previous prime is 54191965463969. The next prime is 54191965464023. The reversal of 54191965464000 is 46456919145.

54191965464000 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 1 + 96 + 546 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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, 18277491 + ... + 21034509.

It is an arithmetic number, because the mean of its divisors is an integer number (273110401200).

Almost surely, 2^{54191965464000} is an apocalyptic number.

54191965464000 is a gapful number since it is divisible by the number (50) 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 54191965464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122353459737600).

54191965464000 is an abundant number, since it is smaller than the sum of its proper divisors (190514954011200).

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

54191965464000 is a wasteful number, since it uses less digits than its factorization.

54191965464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757075 (or 2757049 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 54191965464000 in words is "fifty-four trillion, one hundred ninety-one billion, nine hundred sixty-five million, four hundred sixty-four thousand".