10998260582400 has 2592 divisors, whose sum is σ = 50016903791400. Its totient is φ = 2288988979200.

The previous prime is 10998260582377. The next prime is 10998260582411. The reversal of 10998260582400 is 428506289901.

It is a happy number.

10998260582400 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 2 + 605 + 8 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2243668460544 + 8754592121856 = 1497888^2 + 2958816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26124134190 + ... + 26124134610.

Almost surely, 2^{10998260582400} is an apocalyptic number.

10998260582400 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 10998260582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008451895700).

10998260582400 is an abundant number, since it is smaller than the sum of its proper divisors (39018643209000).

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

10998260582400 is a wasteful number, since it uses less digits than its factorization.

10998260582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10998260582400 in words is "ten trillion, nine hundred ninety-eight billion, two hundred sixty million, five hundred eighty-two thousand, four hundred".