10810940893200 has 2160 divisors, whose sum is σ = 49407458720256. Its totient is φ = 2169770803200.

The previous prime is 10810940893157. The next prime is 10810940893231. The reversal of 10810940893200 is 239804901801.

10810940893200 is a `hidden beast` number, since 108 + 109 + 40 + 89 + 320 + 0 = 666.

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, 2827866489 + ... + 2827870311.

Almost surely, 2^{10810940893200} is an apocalyptic number.

10810940893200 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 10810940893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703729360128).

10810940893200 is an abundant number, since it is smaller than the sum of its proper divisors (38596517827056).

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

10810940893200 is a wasteful number, since it uses less digits than its factorization.

10810940893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10810940893200 in words is "ten trillion, eight hundred ten billion, nine hundred forty million, eight hundred ninety-three thousand, two hundred".