1375225160400 has 2880 divisors, whose sum is σ = 6581912064000. Its totient is φ = 273239930880.

The previous prime is 1375225160389. The next prime is 1375225160431. The reversal of 1375225160400 is 40615225731.

1375225160400 is a `hidden beast` number, since 1 + 3 + 75 + 2 + 25 + 160 + 400 = 666.

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 575 ways as a sum of consecutive naturals, for example, 8234881117 + ... + 8234881283.

Almost surely, 2^{1375225160400} is an apocalyptic number.

1375225160400 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 1375225160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290956032000).

1375225160400 is an abundant number, since it is smaller than the sum of its proper divisors (5206686903600).

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

1375225160400 is a wasteful number, since it uses less digits than its factorization.

1375225160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1375225160400 in words is "one trillion, three hundred seventy-five billion, two hundred twenty-five million, one hundred sixty thousand, four hundred".