1160496086400 has 432 divisors, whose sum is σ = 4816989756540. Its totient is φ = 265255925760.

The previous prime is 1160496086389. The next prime is 1160496086401. The reversal of 1160496086400 is 46806940611.

1160496086400 is a `hidden beast` number, since 1 + 160 + 4 + 9 + 6 + 0 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160496086401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1000027 + ... + 1822373.

Almost surely, 2^{1160496086400} is an apocalyptic number.

1160496086400 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 1160496086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408494878270).

1160496086400 is an abundant number, since it is smaller than the sum of its proper divisors (3656493670140).

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

1160496086400 is a wasteful number, since it uses less digits than its factorization.

1160496086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822391 (or 822364 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1160496086400 in words is "one trillion, one hundred sixty billion, four hundred ninety-six million, eighty-six thousand, four hundred".