55726460160 has 288 divisors, whose sum is σ = 203851226880. Its totient is φ = 12709330944.

The previous prime is 55726460131. The next prime is 55726460177. The reversal of 55726460160 is 6106462755.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13679884 + ... + 13683956.

It is an arithmetic number, because the mean of its divisors is an integer number (707816760).

Almost surely, 2^55726460160 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 55726460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925613440).

55726460160 is an abundant number, since it is smaller than the sum of its proper divisors (148124766720).

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

55726460160 is a wasteful number, since it uses less digits than its factorization.

55726460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 55726460160 in words is "fifty-five billion, seven hundred twenty-six million, four hundred sixty thousand, one hundred sixty".