5456167710 has 128 divisors (see below), whose sum is σ = 15587057664. Its totient is φ = 1196052480.

The previous prime is 5456167681. The next prime is 5456167807. The reversal of 5456167710 is 177616545.

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 63 ways as a sum of consecutive naturals, for example, 731922 + ... + 739338.

It is an arithmetic number, because the mean of its divisors is an integer number (121773888).

Almost surely, 2^5456167710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456167710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793528832).

5456167710 is an abundant number, since it is smaller than the sum of its proper divisors (10130889954).

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

5456167710 is a wasteful number, since it uses less digits than its factorization.

5456167710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578.

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5456167710 is about 73865.8764924644. The cubic root of 5456167710 is about 1760.4724659168.

It can be divided in two parts, 5456 and 167710, that added together give a triangular number (173166 = T₅₈₈).

The spelling of 5456167710 in words is "five billion, four hundred fifty-six million, one hundred sixty-seven thousand, seven hundred ten".