10720962252 has 576 divisors, whose sum is σ = 39296839680. Its totient is φ = 2482099200.

The previous prime is 10720962227. The next prime is 10720962253. The reversal of 10720962252 is 25226902701.

It is a happy number.

10720962252 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 9 + 622 + 5 + 2 = 666.

It is a super-2 number, since 2×10720962252² (a number of 21 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 not an unprimeable number, because it can be changed into a prime (10720962253) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23459208 + ... + 23459664.

It is an arithmetic number, because the mean of its divisors is an integer number (68223680).

Almost surely, 2^10720962252 is an apocalyptic number.

10720962252 is a gapful number since it is divisible by the number (12) 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 10720962252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648419840).

10720962252 is an abundant number, since it is smaller than the sum of its proper divisors (28575877428).

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

10720962252 is a wasteful number, since it uses less digits than its factorization.

10720962252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10720962252 in words is "ten billion, seven hundred twenty million, nine hundred sixty-two thousand, two hundred fifty-two".