2587366998720 has 896 divisors, whose sum is σ = 10874659276800. Its totient is φ = 566595993600.

The previous prime is 2587366998709. The next prime is 2587366998731. The reversal of 2587366998720 is 278996637852.

2587366998720 is a `hidden beast` number, since 2 + 5 + 87 + 366 + 99 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2587366998709) and next prime (2587366998731).

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

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, 229757890 + ... + 229769150.

Almost surely, 2^{2587366998720} is an apocalyptic number.

2587366998720 is a gapful number since it is divisible by the number (20) 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 2587366998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437329638400).

2587366998720 is an abundant number, since it is smaller than the sum of its proper divisors (8287292278080).

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

2587366998720 is a wasteful number, since it uses less digits than its factorization.

2587366998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 2587366998720 in words is "two trillion, five hundred eighty-seven billion, three hundred sixty-six million, nine hundred ninety-eight thousand, seven hundred twenty".