10899552034800 has 1440 divisors, whose sum is σ = 46214895557376. Its totient is φ = 2432083968000.

The previous prime is 10899552034783. The next prime is 10899552034807. The reversal of 10899552034800 is 843025599801.

10899552034800 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 9 + 5 + 520 + 34 + 80 + 0 = 666.

It is a super-2 number, since 2×10899552034800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10899552034807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6018525895 + ... + 6018527705.

Almost surely, 2^{10899552034800} is an apocalyptic number.

10899552034800 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 10899552034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23107447778688).

10899552034800 is an abundant number, since it is smaller than the sum of its proper divisors (35315343522576).

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

10899552034800 is a wasteful number, since it uses less digits than its factorization.

10899552034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 10899552034800 in words is "ten trillion, eight hundred ninety-nine billion, five hundred fifty-two million, thirty-four thousand, eight hundred".