54936328224 has 96 divisors (see below), whose sum is σ = 152389702080. Its totient is φ = 17280663552.

The previous prime is 54936328219. The next prime is 54936328231. The reversal of 54936328224 is 42282363945.

It is a Cunningham number, because it is equal to 234385²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410172 + ... + 527364.

It is an arithmetic number, because the mean of its divisors is an integer number (1587392730).

Almost surely, 2^54936328224 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 54936328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76194851040).

54936328224 is an abundant number, since it is smaller than the sum of its proper divisors (97453373856).

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

54936328224 is a wasteful number, since it uses less digits than its factorization.

54936328224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117482 (or 117474 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 54936328224 in words is "fifty-four billion, nine hundred thirty-six million, three hundred twenty-eight thousand, two hundred twenty-four".