10654526772 has 72 divisors (see below), whose sum is σ = 27828353280. Its totient is φ = 3433570560.

The previous prime is 10654526761. The next prime is 10654526777. The reversal of 10654526772 is 27762545601.

10654526772 is a `hidden beast` number, since 1 + 0 + 6 + 54 + 526 + 7 + 72 = 666.

It is a super-2 number, since 2×10654526772² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10654526777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293804 + ... + 1302012.

Almost surely, 2^10654526772 is an apocalyptic number.

10654526772 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 10654526772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914176640).

10654526772 is an abundant number, since it is smaller than the sum of its proper divisors (17173826508).

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

10654526772 is a wasteful number, since it uses less digits than its factorization.

10654526772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 10654526772 in words is "ten billion, six hundred fifty-four million, five hundred twenty-six thousand, seven hundred seventy-two".