10608998400 has 1728 divisors, whose sum is σ = 53231592960. Its totient is φ = 1946419200.

The previous prime is 10608998371. The next prime is 10608998429. The reversal of 10608998400 is 489980601.

It is an interprime number because it is at equal distance from previous prime (10608998371) and next prime (10608998429).

It is a super-2 number, since 2×10608998400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461260789 + ... + 461260811.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 2^10608998400 is an apocalyptic number.

10608998400 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 10608998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615796480).

10608998400 is an abundant number, since it is smaller than the sum of its proper divisors (42622594560).

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

10608998400 is a wasteful number, since it uses less digits than its factorization.

10608998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10608998400 in words is "ten billion, six hundred eight million, nine hundred ninety-eight thousand, four hundred".