54861553093248 has 640 divisors, whose sum is σ = 183956684567040. Its totient is φ = 16086180096000.

The previous prime is 54861553093189. The next prime is 54861553093267. The reversal of 54861553093248 is 84239035516845.

54861553093248 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 1 + 5 + 530 + 93 + 2 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 524682573 + ... + 524787123.

It is an arithmetic number, because the mean of its divisors is an integer number (287432319636).

Almost surely, 2^{54861553093248} 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 54861553093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91978342283520).

54861553093248 is an abundant number, since it is smaller than the sum of its proper divisors (129095131473792).

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

54861553093248 is a wasteful number, since it uses less digits than its factorization.

54861553093248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104738 (or 104717 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 54861553093248 in words is "fifty-four trillion, eight hundred sixty-one billion, five hundred fifty-three million, ninety-three thousand, two hundred forty-eight".