1880129736960 has 288 divisors, whose sum is σ = 6362500015872. Its totient is φ = 471532830720.

The previous prime is 1880129736959. The next prime is 1880129737063. The reversal of 1880129736960 is 696379210881.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1880129736894 and 1880129736903.

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, 96669957 + ... + 96689403.

It is an arithmetic number, because the mean of its divisors is an integer number (22092013944).

Almost surely, 2^{1880129736960} is an apocalyptic number.

1880129736960 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 1880129736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181250007936).

1880129736960 is an abundant number, since it is smaller than the sum of its proper divisors (4482370278912).

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

1880129736960 is a wasteful number, since it uses less digits than its factorization.

1880129736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20969 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 1880129736960 in words is "one trillion, eight hundred eighty billion, one hundred twenty-nine million, seven hundred thirty-six thousand, nine hundred sixty".