287049093117696 has 1080 divisors, whose sum is σ = 1072796732496720. Its totient is φ = 75667510001664.

The previous prime is 287049093117653. The next prime is 287049093117793. The reversal of 287049093117696 is 696711390940782.

287049093117696 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 490 + 9 + 31 + 17 + 6 + 96 = 666.

It is a super-2 number, since 2×287049093117696² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35095862535 + ... + 35095870713.

Almost surely, 2^{287049093117696} is an apocalyptic number.

287049093117696 is a gapful number since it is divisible by the number (26) 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 287049093117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536398366248360).

287049093117696 is an abundant number, since it is smaller than the sum of its proper divisors (785747639379024).

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

287049093117696 is a wasteful number, since it uses less digits than its factorization.

287049093117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 287049093117696 in words is "two hundred eighty-seven trillion, forty-nine billion, ninety-three million, one hundred seventeen thousand, six hundred ninety-six".