5461597956 has 96 divisors (see below), whose sum is σ = 14693616000. Its totient is φ = 1567254528.

The previous prime is 5461597943. The next prime is 5461597957. The reversal of 5461597956 is 6597951645.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 5461597896 and 5461597905.

It is not an unprimeable number, because it can be changed into a prime (5461597957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88110 + ... + 136698.

It is an arithmetic number, because the mean of its divisors is an integer number (153058500).

Almost surely, 2^5461597956 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 5461597956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346808000).

5461597956 is an abundant number, since it is smaller than the sum of its proper divisors (9232018044).

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

5461597956 is a wasteful number, since it uses less digits than its factorization.

5461597956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48661 (or 48659 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 57.

The square root of 5461597956 is about 73902.6248248328. The cubic root of 5461597956 is about 1761.0563084821.

The spelling of 5461597956 in words is "five billion, four hundred sixty-one million, five hundred ninety-seven thousand, nine hundred fifty-six".