1160151400800 has 1728 divisors, whose sum is σ = 5022878515200. Its totient is φ = 261169090560.

The previous prime is 1160151400787. The next prime is 1160151400813. The reversal of 1160151400800 is 80041510611.

1160151400800 is a `hidden beast` number, since 1 + 1 + 601 + 51 + 4 + 0 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1160151400787) and next prime (1160151400813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8468258332 + ... + 8468258468.

It is an arithmetic number, because the mean of its divisors is an integer number (2906758400).

Almost surely, 2^{1160151400800} is an apocalyptic number.

1160151400800 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 1160151400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511439257600).

1160151400800 is an abundant number, since it is smaller than the sum of its proper divisors (3862727114400).

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

1160151400800 is a wasteful number, since it uses less digits than its factorization.

1160151400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 1160151400800 in words is "one trillion, one hundred sixty billion, one hundred fifty-one million, four hundred thousand, eight hundred".