11611167480 has 256 divisors, whose sum is σ = 42397862400. Its totient is φ = 2803138560.

The previous prime is 11611167479. The next prime is 11611167553. The reversal of 11611167480 is 8476111611.

11611167480 is a `hidden beast` number, since 1 + 1 + 6 + 11 + 167 + 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 63 ways as a sum of consecutive naturals, for example, 3051259 + ... + 3055061.

It is an arithmetic number, because the mean of its divisors is an integer number (165616650).

Almost surely, 2^11611167480 is an apocalyptic number.

11611167480 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 11611167480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198931200).

11611167480 is an abundant number, since it is smaller than the sum of its proper divisors (30786694920).

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

11611167480 is a wasteful number, since it uses less digits than its factorization.

11611167480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11611167480 in words is "eleven billion, six hundred eleven million, one hundred sixty-seven thousand, four hundred eighty".