10742724552 has 128 divisors (see below), whose sum is σ = 31508870400. Its totient is φ = 2988134400.

The previous prime is 10742724539. The next prime is 10742724599. The reversal of 10742724552 is 25542724701.

It is a happy number.

It is a super-2 number, since 2×10742724552² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10742724552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917902 + ... + 3920642.

It is an arithmetic number, because the mean of its divisors is an integer number (246163050).

Almost surely, 2^10742724552 is an apocalyptic number.

10742724552 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 10742724552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754435200).

10742724552 is an abundant number, since it is smaller than the sum of its proper divisors (20766145848).

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

10742724552 is a wasteful number, since it uses less digits than its factorization.

10742724552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

The spelling of 10742724552 in words is "ten billion, seven hundred forty-two million, seven hundred twenty-four thousand, five hundred fifty-two".