10700456104800 has 2592 divisors, whose sum is σ = 50985826635744. Its totient is φ = 2080899072000.

The previous prime is 10700456104777. The next prime is 10700456104841. The reversal of 10700456104800 is 840165400701.

It is a happy number.

10700456104800 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 4 + 561 + 0 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×10700456104800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15899637264 + ... + 15899637936.

It is an arithmetic number, because the mean of its divisors is an integer number (19670457807).

Almost surely, 2^{10700456104800} is an apocalyptic number.

10700456104800 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 10700456104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492913317872).

10700456104800 is an abundant number, since it is smaller than the sum of its proper divisors (40285370530944).

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

10700456104800 is a wasteful number, since it uses less digits than its factorization.

10700456104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10700456104800 in words is "ten trillion, seven hundred billion, four hundred fifty-six million, one hundred four thousand, eight hundred".