54967086000 has 480 divisors, whose sum is σ = 210835130688. Its totient is φ = 13793587200.

The previous prime is 54967085989. The next prime is 54967086049. The reversal of 54967086000 is 68076945.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8258674 + ... + 8265326.

Almost surely, 2^54967086000 is an apocalyptic number.

54967086000 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 54967086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105417565344).

54967086000 is an abundant number, since it is smaller than the sum of its proper divisors (155868044688).

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

54967086000 is a wasteful number, since it uses less digits than its factorization.

54967086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 54967086000 in words is "fifty-four billion, nine hundred sixty-seven million, eighty-six thousand".