10662777552 has 160 divisors (see below), whose sum is σ = 33389291520. Its totient is φ = 2866152960.

The previous prime is 10662777539. The next prime is 10662777583. The reversal of 10662777552 is 25577726601.

It is a super-2 number, since 2×10662777552² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 460099 + ... + 482717.

It is an arithmetic number, because the mean of its divisors is an integer number (208683072).

Almost surely, 2^10662777552 is an apocalyptic number.

10662777552 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 10662777552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694645760).

10662777552 is an abundant number, since it is smaller than the sum of its proper divisors (22726513968).

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

10662777552 is a wasteful number, since it uses less digits than its factorization.

10662777552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22721 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 10662777552 in words is "ten billion, six hundred sixty-two million, seven hundred seventy-seven thousand, five hundred fifty-two".