1365990151680 has 1280 divisors, whose sum is σ = 6312967372800. Its totient is φ = 271476817920.

The previous prime is 1365990151627. The next prime is 1365990151751. The reversal of 1365990151680 is 861510995631.

1365990151680 is a `hidden beast` number, since 1 + 36 + 5 + 9 + 90 + 1 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122405941 + ... + 122417099.

It is an arithmetic number, because the mean of its divisors is an integer number (4932005760).

Almost surely, 2^{1365990151680} is an apocalyptic number.

1365990151680 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 1365990151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156483686400).

1365990151680 is an abundant number, since it is smaller than the sum of its proper divisors (4946977221120).

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

1365990151680 is a wasteful number, since it uses less digits than its factorization.

1365990151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 1365990151680 in words is "one trillion, three hundred sixty-five billion, nine hundred ninety million, one hundred fifty-one thousand, six hundred eighty".