10722556513440 has 192 divisors, whose sum is σ = 39160641542400. Its totient is φ = 2735028882432.

The previous prime is 10722556513343. The next prime is 10722556513441. The reversal of 10722556513440 is 4431565522701.

10722556513440 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 556 + 51 + 3 + 4 + 40 = 666.

It is a super-2 number, since 2×10722556513440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10722556513441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53858755 + ... + 54057474.

It is an arithmetic number, because the mean of its divisors is an integer number (203961674700).

Almost surely, 2^{10722556513440} is an apocalyptic number.

10722556513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10722556513440 is an abundant number, since it is smaller than the sum of its proper divisors (28438085028960).

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

10722556513440 is a wasteful number, since it uses less digits than its factorization.

10722556513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107916276 (or 107916262 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 10722556513440 in words is "ten trillion, seven hundred twenty-two billion, five hundred fifty-six million, five hundred thirteen thousand, four hundred forty".