1325155352400 has 360 divisors, whose sum is σ = 5021240929536. Its totient is φ = 320960102400.

The previous prime is 1325155352347. The next prime is 1325155352419. The reversal of 1325155352400 is 42535515231.

1325155352400 is a `hidden beast` number, since 1 + 3 + 2 + 51 + 553 + 52 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45644289 + ... + 45673311.

Almost surely, 2^{1325155352400} is an apocalyptic number.

1325155352400 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 1325155352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510620464768).

1325155352400 is an abundant number, since it is smaller than the sum of its proper divisors (3696085577136).

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

1325155352400 is a wasteful number, since it uses less digits than its factorization.

1325155352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30211 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1325155352400 in words is "one trillion, three hundred twenty-five billion, one hundred fifty-five million, three hundred fifty-two thousand, four hundred".