10654775040 has 288 divisors, whose sum is σ = 41882835456. Its totient is φ = 2247966720.

The previous prime is 10654775039. The next prime is 10654775063. The reversal of 10654775040 is 4057745601.

It is a super-2 number, since 2×10654775040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10654775040.

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, 334195 + ... + 364685.

It is an arithmetic number, because the mean of its divisors is an integer number (145426512).

Almost surely, 2^10654775040 is an apocalyptic number.

10654775040 is a gapful number since it is divisible by the number (10) 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 10654775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941417728).

10654775040 is an abundant number, since it is smaller than the sum of its proper divisors (31228060416).

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

10654775040 is a wasteful number, since it uses less digits than its factorization.

10654775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30535 (or 30521 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 10654775040 in words is "ten billion, six hundred fifty-four million, seven hundred seventy-five thousand, forty".