1025168087880 has 512 divisors, whose sum is σ = 3696057216000. Its totient is φ = 251976130560.

The previous prime is 1025168087849. The next prime is 1025168087893. The reversal of 1025168087880 is 887808615201.

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 127 ways as a sum of consecutive naturals, for example, 476156884 + ... + 476159036.

It is an arithmetic number, because the mean of its divisors is an integer number (7218861750).

Almost surely, 2^{1025168087880} is an apocalyptic number.

1025168087880 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 1025168087880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848028608000).

1025168087880 is an abundant number, since it is smaller than the sum of its proper divisors (2670889128120).

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

1025168087880 is a wasteful number, since it uses less digits than its factorization.

1025168087880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1025168087880 in words is "one trillion, twenty-five billion, one hundred sixty-eight million, eighty-seven thousand, eight hundred eighty".