5456155680 has 384 divisors, whose sum is σ = 20183385600. Its totient is φ = 1373847552.

The previous prime is 5456155667. The next prime is 5456155681. The reversal of 5456155680 is 865516545.

5456155680 is a `hidden beast` number, since 5 + 4 + 561 + 5 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5456155681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8842732 + ... + 8843348.

It is an arithmetic number, because the mean of its divisors is an integer number (52560900).

Almost surely, 2^5456155680 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 5456155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091692800).

5456155680 is an abundant number, since it is smaller than the sum of its proper divisors (14727229920).

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

5456155680 is a wasteful number, since it uses less digits than its factorization.

5456155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5456155680 is about 73865.7950610430. The cubic root of 5456155680 is about 1760.4711720600.

The spelling of 5456155680 in words is "five billion, four hundred fifty-six million, one hundred fifty-five thousand, six hundred eighty".