1325106086400 has 1200 divisors, whose sum is σ = 5210709752160. Its totient is φ = 331643289600.

The previous prime is 1325106086383. The next prime is 1325106086449. The reversal of 1325106086400 is 46806015231.

It is a happy number.

1325106086400 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 0 + 6 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×1325106086400² (a number of 25 digits) contains 22 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 119 ways as a sum of consecutive naturals, for example, 2698790155 + ... + 2698790645.

Almost surely, 2^{1325106086400} is an apocalyptic number.

1325106086400 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 1325106086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605354876080).

1325106086400 is an abundant number, since it is smaller than the sum of its proper divisors (3885603665760).

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

1325106086400 is a wasteful number, since it uses less digits than its factorization.

1325106086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1325106086400 in words is "one trillion, three hundred twenty-five billion, one hundred six million, eighty-six thousand, four hundred".