10964779920 has 480 divisors, whose sum is σ = 41083977600. Its totient is φ = 2679505920.

The previous prime is 10964779919. The next prime is 10964779927. The reversal of 10964779920 is 2997746901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964779927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154433485 + ... + 154433555.

It is an arithmetic number, because the mean of its divisors is an integer number (85591620).

Almost surely, 2^10964779920 is an apocalyptic number.

10964779920 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 10964779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541988800).

10964779920 is an abundant number, since it is smaller than the sum of its proper divisors (30119197680).

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

10964779920 is a wasteful number, since it uses less digits than its factorization.

10964779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 10964779920 in words is "ten billion, nine hundred sixty-four million, seven hundred seventy-nine thousand, nine hundred twenty".