1171090980864 has 1440 divisors, whose sum is σ = 4410805190400. Its totient is φ = 309013512192.

The previous prime is 1171090980859. The next prime is 1171090980883. The reversal of 1171090980864 is 4680890901711.

It is a super-2 number, since 2×1171090980864² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1171090980864.

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, 40382447602 + ... + 40382447630.

It is an arithmetic number, because the mean of its divisors is an integer number (3063059160).

Almost surely, 2^{1171090980864} is an apocalyptic number.

1171090980864 is a gapful number since it is divisible by the number (14) 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 1171090980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205402595200).

1171090980864 is an abundant number, since it is smaller than the sum of its proper divisors (3239714209536).

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

1171090980864 is an frugal number, since it uses more digits than its factorization.

1171090980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1171090980864 in words is "one trillion, one hundred seventy-one billion, ninety million, nine hundred eighty thousand, eight hundred sixty-four".