1160551022400 has 1680 divisors, whose sum is σ = 5632193837952. Its totient is φ = 226934784000.

The previous prime is 1160551022399. The next prime is 1160551022401. The reversal of 1160551022400 is 42201550611.

1160551022400 is a `hidden beast` number, since 1 + 1 + 605 + 5 + 10 + 2 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1160551022399) and next prime (1160551022401).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160551022401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169642980 + ... + 169649820.

Almost surely, 2^{1160551022400} is an apocalyptic number.

1160551022400 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 1160551022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816096918976).

1160551022400 is an abundant number, since it is smaller than the sum of its proper divisors (4471642815552).

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

1160551022400 is a wasteful number, since it uses less digits than its factorization.

1160551022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1160551022400 in words is "one trillion, one hundred sixty billion, five hundred fifty-one million, twenty-two thousand, four hundred".