1156977868800 has 1440 divisors, whose sum is σ = 4456026796032. Its totient is φ = 262636830720.

The previous prime is 1156977868729. The next prime is 1156977868801. The reversal of 1156977868800 is 88687796511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156977868801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17268326367 + ... + 17268326433.

Almost surely, 2^{1156977868800} is an apocalyptic number.

1156977868800 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 1156977868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228013398016).

1156977868800 is an abundant number, since it is smaller than the sum of its proper divisors (3299048927232).

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

1156977868800 is a wasteful number, since it uses less digits than its factorization.

1156977868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 1156977868800 in words is "one trillion, one hundred fifty-six billion, nine hundred seventy-seven million, eight hundred sixty-eight thousand, eight hundred".