10700303964000 has 768 divisors, whose sum is σ = 40714269732864. Its totient is φ = 2406260736000.

The previous prime is 10700303963983. The next prime is 10700303964023. The reversal of 10700303964000 is 46930300701.

It is a super-2 number, since 2×10700303964000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1409600205 + ... + 1409607795.

It is an arithmetic number, because the mean of its divisors is an integer number (53013372048).

Almost surely, 2^{10700303964000} is an apocalyptic number.

10700303964000 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 10700303964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357134866432).

10700303964000 is an abundant number, since it is smaller than the sum of its proper divisors (30013965768864).

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

10700303964000 is a wasteful number, since it uses less digits than its factorization.

10700303964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 10700303964000 in words is "ten trillion, seven hundred billion, three hundred three million, nine hundred sixty-four thousand".