5456261520 has 320 divisors, whose sum is σ = 20061216000. Its totient is φ = 1358290944.

The previous prime is 5456261507. The next prime is 5456261561. The reversal of 5456261520 is 251626545.

5456261520 is a `hidden beast` number, since 5 + 4 + 5 + 626 + 1 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5103546 + ... + 5104614.

It is an arithmetic number, because the mean of its divisors is an integer number (62691300).

Almost surely, 2^5456261520 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 5456261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030608000).

5456261520 is an abundant number, since it is smaller than the sum of its proper divisors (14604954480).

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

5456261520 is a wasteful number, since it uses less digits than its factorization.

5456261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5456261520 is about 73866.5114920151. The cubic root of 5456261520 is about 1760.4825553535.

The spelling of 5456261520 in words is "five billion, four hundred fifty-six million, two hundred sixty-one thousand, five hundred twenty".