1331170156800 has 3456 divisors, whose sum is σ = 6131607552000. Its totient is φ = 278691840000.

The previous prime is 1331170156787. The next prime is 1331170156837. The reversal of 1331170156800 is 86510711331.

1331170156800 is a `hidden beast` number, since 1 + 331 + 170 + 156 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32467564780 + ... + 32467564820.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192000).

Almost surely, 2^{1331170156800} is an apocalyptic number.

1331170156800 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 1331170156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065803776000).

1331170156800 is an abundant number, since it is smaller than the sum of its proper divisors (4800437395200).

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

1331170156800 is a wasteful number, since it uses less digits than its factorization.

1331170156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1331170156800 in words is "one trillion, three hundred thirty-one billion, one hundred seventy million, one hundred fifty-six thousand, eight hundred".