10633215390720 has 1056 divisors, whose sum is σ = 39595921327872. Its totient is φ = 2416397254656.

The previous prime is 10633215390701. The next prime is 10633215390751. The reversal of 10633215390720 is 2709351233601.

It is a super-2 number, since 2×10633215390720² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3862408864 + ... + 3862411616.

Almost surely, 2^{10633215390720} is an apocalyptic number.

10633215390720 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 10633215390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797960663936).

10633215390720 is an abundant number, since it is smaller than the sum of its proper divisors (28962705937152).

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

10633215390720 is a wasteful number, since it uses less digits than its factorization.

10633215390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 10633215390720 in words is "ten trillion, six hundred thirty-three billion, two hundred fifteen million, three hundred ninety thousand, seven hundred twenty".