10967911920 has 240 divisors, whose sum is σ = 43655539200. Its totient is φ = 2506920192.

The previous prime is 10967911919. The next prime is 10967911921. The reversal of 10967911920 is 2911976901.

It is an interprime number because it is at equal distance from previous prime (10967911919) and next prime (10967911921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10967911921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95781 + ... + 176379.

It is an arithmetic number, because the mean of its divisors is an integer number (181898080).

Almost surely, 2^10967911920 is an apocalyptic number.

10967911920 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 10967911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21827769600).

10967911920 is an abundant number, since it is smaller than the sum of its proper divisors (32687627280).

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

10967911920 is an equidigital number, since it uses as much as digits as its factorization.

10967911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80634 (or 80616 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 10967911920 in words is "ten billion, nine hundred sixty-seven million, nine hundred eleven thousand, nine hundred twenty".