10999072458000 has 800 divisors, whose sum is σ = 43442187414912. Its totient is φ = 2660231808000.

The previous prime is 10999072457983. The next prime is 10999072458001. The reversal of 10999072458000 is 85427099901.

10999072458000 is a `hidden beast` number, since 10 + 99 + 90 + 7 + 2 + 458 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10999072458001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 789419034 + ... + 789432966.

Almost surely, 2^{10999072458000} is an apocalyptic number.

10999072458000 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 10999072458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721093707456).

10999072458000 is an abundant number, since it is smaller than the sum of its proper divisors (32443114956912).

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

10999072458000 is a wasteful number, since it uses less digits than its factorization.

10999072458000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10999072458000 in words is "ten trillion, nine hundred ninety-nine billion, seventy-two million, four hundred fifty-eight thousand".