1375776645120 has 448 divisors, whose sum is σ = 4904677008000. Its totient is φ = 365874905088.

The previous prime is 1375776645107. The next prime is 1375776645163. The reversal of 1375776645120 is 215466775731.

1375776645120 is a `hidden beast` number, since 1 + 3 + 7 + 57 + 76 + 6 + 4 + 512 + 0 = 666.

It is a super-2 number, since 2×1375776645120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463378996 + ... + 463381964.

It is an arithmetic number, because the mean of its divisors is an integer number (10947939750).

Almost surely, 2^{1375776645120} is an apocalyptic number.

1375776645120 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 1375776645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452338504000).

1375776645120 is an abundant number, since it is smaller than the sum of its proper divisors (3528900362880).

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

1375776645120 is an equidigital number, since it uses as much as digits as its factorization.

1375776645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 1375776645120 in words is "one trillion, three hundred seventy-five billion, seven hundred seventy-six million, six hundred forty-five thousand, one hundred twenty".