10919220480 has 864 divisors, whose sum is σ = 45793972224. Its totient is φ = 2350301184.

The previous prime is 10919220469. The next prime is 10919220493. The reversal of 10919220480 is 8402291901.

10919220480 is a `hidden beast` number, since 1 + 0 + 91 + 92 + 2 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162973407 + ... + 162973473.

Almost surely, 2^10919220480 is an apocalyptic number.

10919220480 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 10919220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896986112).

10919220480 is an abundant number, since it is smaller than the sum of its proper divisors (34874751744).

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

10919220480 is a wasteful number, since it uses less digits than its factorization.

10919220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10919220480 in words is "ten billion, nine hundred nineteen million, two hundred twenty thousand, four hundred eighty".