10898676172800 has 864 divisors, whose sum is σ = 44507433920040. Its totient is φ = 2524918579200.

The previous prime is 10898676172793. The next prime is 10898676172831. The reversal of 10898676172800 is 827167689801.

10898676172800 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 6 + 7 + 617 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 119904297984 + 10778771874816 = 346272^2 + 3283104^2 .

It is a super-2 number, since 2×10898676172800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101783290 + ... + 101890310.

Almost surely, 2^{10898676172800} is an apocalyptic number.

10898676172800 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 10898676172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22253716960020).

10898676172800 is an abundant number, since it is smaller than the sum of its proper divisors (33608757747240).

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

10898676172800 is a wasteful number, since it uses less digits than its factorization.

10898676172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107089 (or 107061 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 10898676172800 in words is "ten trillion, eight hundred ninety-eight billion, six hundred seventy-six million, one hundred seventy-two thousand, eight hundred".