1375859882880 has 960 divisors, whose sum is σ = 5870516731200. Its totient is φ = 305961836544.

The previous prime is 1375859882857. The next prime is 1375859882933. The reversal of 1375859882880 is 882889585731.

1375859882880 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 8 + 598 + 8 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1375859882799 and 1375859882808.

It is a congruent number.

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, 93978601 + ... + 93993239.

It is an arithmetic number, because the mean of its divisors is an integer number (6115121595).

Almost surely, 2^{1375859882880} is an apocalyptic number.

1375859882880 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 1375859882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935258365600).

1375859882880 is an abundant number, since it is smaller than the sum of its proper divisors (4494656848320).

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

1375859882880 is a wasteful number, since it uses less digits than its factorization.

1375859882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 1375859882880 in words is "one trillion, three hundred seventy-five billion, eight hundred fifty-nine million, eight hundred eighty-two thousand, eight hundred eighty".