1375228108800 has 1680 divisors, whose sum is σ = 6277017745152. Its totient is φ = 289839513600.

The previous prime is 1375228108781. The next prime is 1375228108817. The reversal of 1375228108800 is 88018225731.

1375228108800 is a `hidden beast` number, since 1 + 37 + 522 + 8 + 10 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1509580345 + ... + 1509581255.

Almost surely, 2^{1375228108800} is an apocalyptic number.

1375228108800 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 1375228108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138508872576).

1375228108800 is an abundant number, since it is smaller than the sum of its proper divisors (4901789636352).

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

1375228108800 is an equidigital number, since it uses as much as digits as its factorization.

1375228108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1375228108800 in words is "one trillion, three hundred seventy-five billion, two hundred twenty-eight million, one hundred eight thousand, eight hundred".