10874351308800 has 624 divisors, whose sum is σ = 41255426483712. Its totient is φ = 2475540480000.

The previous prime is 10874351308781. The next prime is 10874351308837. The reversal of 10874351308800 is 880315347801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10874351308800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539740327 + ... + 539760473.

Almost surely, 2^{10874351308800} is an apocalyptic number.

10874351308800 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 10874351308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627713241856).

10874351308800 is an abundant number, since it is smaller than the sum of its proper divisors (30381075174912).

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

10874351308800 is a wasteful number, since it uses less digits than its factorization.

10874351308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20442 (or 20415 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10874351308800 in words is "ten trillion, eight hundred seventy-four billion, three hundred fifty-one million, three hundred eight thousand, eight hundred".