54362880000 has 1440 divisors, whose sum is σ = 238201563600. Its totient is φ = 12165120000.

The previous prime is 54362879983. The next prime is 54362880049. The reversal of 54362880000 is 8826345.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4181759994 + ... + 4181760006.

Almost surely, 2^54362880000 is an apocalyptic number.

54362880000 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 54362880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119100781800).

54362880000 is an abundant number, since it is smaller than the sum of its proper divisors (183838683600).

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

54362880000 is a wasteful number, since it uses less digits than its factorization.

54362880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54362880000 in words is "fifty-four billion, three hundred sixty-two million, eight hundred eighty thousand".