10719552856320 has 2592 divisors, whose sum is σ = 48766493857536. Its totient is φ = 2211180871680.

The previous prime is 10719552856241. The next prime is 10719552856321. The reversal of 10719552856320 is 2365825591701.

10719552856320 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 9 + 5 + 52 + 8 + 563 + 20 = 666.

10719552856320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×10719552856320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10719552856321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78244911292 + ... + 78244911428.

Almost surely, 2^{10719552856320} is an apocalyptic number.

10719552856320 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 10719552856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24383246928768).

10719552856320 is an abundant number, since it is smaller than the sum of its proper divisors (38046941001216).

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

10719552856320 is an frugal number, since it uses more digits than its factorization.

10719552856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10719552856320 in words is "ten trillion, seven hundred nineteen billion, five hundred fifty-two million, eight hundred fifty-six thousand, three hundred twenty".