1163581914880 has 576 divisors, whose sum is σ = 3600110739456. Its totient is φ = 349691904000.

The previous prime is 1163581914877. The next prime is 1163581914883. The reversal of 1163581914880 is 884191853611.

It is an interprime number because it is at equal distance from previous prime (1163581914877) and next prime (1163581914883).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163581914883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139648770 + ... + 1139649790.

It is an arithmetic number, because the mean of its divisors is an integer number (6250192256).

Almost surely, 2^{1163581914880} is an apocalyptic number.

1163581914880 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 1163581914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800055369728).

1163581914880 is an abundant number, since it is smaller than the sum of its proper divisors (2436528824576).

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

1163581914880 is a wasteful number, since it uses less digits than its factorization.

1163581914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 55.

The spelling of 1163581914880 in words is "one trillion, one hundred sixty-three billion, five hundred eighty-one million, nine hundred fourteen thousand, eight hundred eighty".