54914702976 has 576 divisors, whose sum is σ = 192752239680. Its totient is φ = 15516168192.

The previous prime is 54914702813. The next prime is 54914702987. The reversal of 54914702976 is 67920741945.

54914702976 is a `hidden beast` number, since 549 + 1 + 4 + 7 + 0 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 208801021 + ... + 208801283.

It is an arithmetic number, because the mean of its divisors is an integer number (334639305).

Almost surely, 2^54914702976 is an apocalyptic number.

54914702976 is a gapful number since it is divisible by the number (56) 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 54914702976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96376119840).

54914702976 is an abundant number, since it is smaller than the sum of its proper divisors (137837536704).

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

54914702976 is a wasteful number, since it uses less digits than its factorization.

54914702976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 54914702976 in words is "fifty-four billion, nine hundred fourteen million, seven hundred two thousand, nine hundred seventy-six".