10973654496 has 672 divisors, whose sum is σ = 40456039680. Its totient is φ = 2857586688.

The previous prime is 10973654389. The next prime is 10973654519. The reversal of 10973654496 is 69445637901.

10973654496 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 3 + 6 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163785855 + ... + 163785921.

It is an arithmetic number, because the mean of its divisors is an integer number (60202440).

Almost surely, 2^10973654496 is an apocalyptic number.

10973654496 is a gapful number since it is divisible by the number (16) 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 10973654496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228019840).

10973654496 is an abundant number, since it is smaller than the sum of its proper divisors (29482385184).

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

10973654496 is an equidigital number, since it uses as much as digits as its factorization.

10973654496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10973654496 in words is "ten billion, nine hundred seventy-three million, six hundred fifty-four thousand, four hundred ninety-six".