1321757086320 has 800 divisors, whose sum is σ = 5111361066240. Its totient is φ = 313853460480.

The previous prime is 1321757086301. The next prime is 1321757086367. The reversal of 1321757086320 is 236807571231.

1321757086320 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 5 + 7 + 0 + 8 + 632 + 0 = 666.

It is a super-2 number, since 2×1321757086320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1963977504 + ... + 1963978176.

Almost surely, 2^{1321757086320} is an apocalyptic number.

1321757086320 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 1321757086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555680533120).

1321757086320 is an abundant number, since it is smaller than the sum of its proper divisors (3789603979920).

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

1321757086320 is a wasteful number, since it uses less digits than its factorization.

1321757086320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1321757086320 in words is "one trillion, three hundred twenty-one billion, seven hundred fifty-seven million, eighty-six thousand, three hundred twenty".