1353150256320 has 280 divisors, whose sum is σ = 5022673707744. Its totient is φ = 345151217664.

The previous prime is 1353150256253. The next prime is 1353150256331. The reversal of 1353150256320 is 236520513531.

1353150256320 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 15 + 0 + 2 + 5 + 632 + 0 = 666.

It is a super-4 number, since 4×1353150256320⁴ (a number of 50 digits) contains 4444 as substring.

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 39 ways as a sum of consecutive naturals, for example, 538729 + ... + 1731048.

Almost surely, 2^{1353150256320} is an apocalyptic number.

1353150256320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353150256320 is an abundant number, since it is smaller than the sum of its proper divisors (3669523451424).

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

1353150256320 is a wasteful number, since it uses less digits than its factorization.

1353150256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269829 (or 2269810 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 1353150256320 its reverse (236520513531), we get a palindrome (1589670769851).

The spelling of 1353150256320 in words is "one trillion, three hundred fifty-three billion, one hundred fifty million, two hundred fifty-six thousand, three hundred twenty".