1290087146880 has 768 divisors, whose sum is σ = 5594835456000. Its totient is φ = 279353733120.

The previous prime is 1290087146857. The next prime is 1290087146903. The reversal of 1290087146880 is 886417800921.

1290087146880 is a `hidden beast` number, since 1 + 29 + 0 + 0 + 87 + 1 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1290087146857) and next prime (1290087146903).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16047585 + ... + 16127775.

It is an arithmetic number, because the mean of its divisors is an integer number (7284942000).

Almost surely, 2^{1290087146880} is an apocalyptic number.

1290087146880 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 1290087146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797417728000).

1290087146880 is an abundant number, since it is smaller than the sum of its proper divisors (4304748309120).

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

1290087146880 is a wasteful number, since it uses less digits than its factorization.

1290087146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80252 (or 80227 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1290087146880 in words is "one trillion, two hundred ninety billion, eighty-seven million, one hundred forty-six thousand, eight hundred eighty".