54689293632960 has 672 divisors, whose sum is σ = 220594098816000. Its totient is φ = 12175051898880.

The previous prime is 54689293632931. The next prime is 54689293632989. The reversal of 54689293632960 is 6923639298645.

54689293632960 is a `hidden beast` number, since 5 + 4 + 6 + 8 + 9 + 293 + 6 + 329 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54689293632931) and next prime (54689293632989).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495054211 + ... + 495164669.

It is an arithmetic number, because the mean of its divisors is an integer number (328265028000).

Almost surely, 2^{54689293632960} 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 54689293632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110297049408000).

54689293632960 is an abundant number, since it is smaller than the sum of its proper divisors (165904805183040).

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

54689293632960 is a wasteful number, since it uses less digits than its factorization.

54689293632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111129 (or 111116 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 54689293632960 in words is "fifty-four trillion, six hundred eighty-nine billion, two hundred ninety-three million, six hundred thirty-two thousand, nine hundred sixty".