10912370086800 has 2160 divisors, whose sum is σ = 48157648606080. Its totient is φ = 2239757844480.

The previous prime is 10912370086781. The next prime is 10912370086829. The reversal of 10912370086800 is 868007321901.

It is a super-2 number, since 2×10912370086800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34423880242 + ... + 34423880558.

It is an arithmetic number, because the mean of its divisors is an integer number (22295207688).

Almost surely, 2^{10912370086800} is an apocalyptic number.

10912370086800 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 10912370086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078824303040).

10912370086800 is an abundant number, since it is smaller than the sum of its proper divisors (37245278519280).

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

10912370086800 is a wasteful number, since it uses less digits than its factorization.

10912370086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10912370086800 in words is "ten trillion, nine hundred twelve billion, three hundred seventy million, eighty-six thousand, eight hundred".