287874098520 has 256 divisors, whose sum is σ = 880453324800. Its totient is φ = 75291033600.

The previous prime is 287874098513. The next prime is 287874098543. The reversal of 287874098520 is 25890478782.

It is a Cunningham number, because it is equal to 536539²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717890320 + ... + 717890720.

It is an arithmetic number, because the mean of its divisors is an integer number (3439270800).

Almost surely, 2^287874098520 is an apocalyptic number.

287874098520 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 287874098520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440226662400).

287874098520 is an abundant number, since it is smaller than the sum of its proper divisors (592579226280).

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

287874098520 is a wasteful number, since it uses less digits than its factorization.

287874098520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 287874098520 in words is "two hundred eighty-seven billion, eight hundred seventy-four million, ninety-eight thousand, five hundred twenty".