10598480640 has 360 divisors, whose sum is σ = 41375326608. Its totient is φ = 2569052160.

The previous prime is 10598480593. The next prime is 10598480699. The reversal of 10598480640 is 4608489501.

10598480640 is a `hidden beast` number, since 10 + 598 + 4 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10598480640² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135834 + ... + 1145126.

Almost surely, 2^10598480640 is an apocalyptic number.

10598480640 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 10598480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687663304).

10598480640 is an abundant number, since it is smaller than the sum of its proper divisors (30776845968).

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

10598480640 is an equidigital number, since it uses as much as digits as its factorization.

10598480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 105984 and 80640, that added together give a square (186624 = 432²).

The spelling of 10598480640 in words is "ten billion, five hundred ninety-eight million, four hundred eighty thousand, six hundred forty".