55079861760 has 1280 divisors, whose sum is σ = 248898355200. Its totient is φ = 11214028800.

The previous prime is 55079861743. The next prime is 55079861803. The reversal of 55079861760 is 6716897055.

55079861760 is a `hidden beast` number, since 5 + 507 + 9 + 8 + 61 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 55079861697 and 55079861706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420456895 + ... + 420457025.

It is an arithmetic number, because the mean of its divisors is an integer number (194451840).

Almost surely, 2^55079861760 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 55079861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449177600).

55079861760 is an abundant number, since it is smaller than the sum of its proper divisors (193818493440).

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

55079861760 is a wasteful number, since it uses less digits than its factorization.

55079861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 55079861760 in words is "fifty-five billion, seventy-nine million, eight hundred sixty-one thousand, seven hundred sixty".