1155377664000 has 2496 divisors, whose sum is σ = 5262475046400. Its totient is φ = 242771558400.

The previous prime is 1155377663939. The next prime is 1155377664053. The reversal of 1155377664000 is 4667735511.

1155377664000 is a `hidden beast` number, since 1 + 1 + 5 + 537 + 76 + 6 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26869247979 + ... + 26869248021.

It is an arithmetic number, because the mean of its divisors is an integer number (2108363400).

Almost surely, 2^{1155377664000} is an apocalyptic number.

1155377664000 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 1155377664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631237523200).

1155377664000 is an abundant number, since it is smaller than the sum of its proper divisors (4107097382400).

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

1155377664000 is an equidigital number, since it uses as much as digits as its factorization.

1155377664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1155377664000 in words is "one trillion, one hundred fifty-five billion, three hundred seventy-seven million, six hundred sixty-four thousand".