10597848480 has 288 divisors, whose sum is σ = 37550822400. Its totient is φ = 2718904320.

The previous prime is 10597848473. The next prime is 10597848487. The reversal of 10597848480 is 8484879501.

10597848480 is a `hidden beast` number, since 1 + 0 + 59 + 78 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (10597848473) and next prime (10597848487).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10597848480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10597848487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8882764 + ... + 8883956.

It is an arithmetic number, because the mean of its divisors is an integer number (130384800).

Almost surely, 2^10597848480 is an apocalyptic number.

10597848480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10597848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775411200).

10597848480 is an abundant number, since it is smaller than the sum of its proper divisors (26952973920).

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

10597848480 is a wasteful number, since it uses less digits than its factorization.

10597848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10597848480 in words is "ten billion, five hundred ninety-seven million, eight hundred forty-eight thousand, four hundred eighty".