2873535799680 has 1024 divisors, whose sum is σ = 12559947724800. Its totient is φ = 604625928192.

The previous prime is 2873535799639. The next prime is 2873535799733. The reversal of 2873535799680 is 869975353782.

It is a happy number.

2873535799680 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 535 + 7 + 9 + 9 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2873535799599 and 2873535799608.

It is a congruent number.

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, 624272259 + ... + 624276861.

It is an arithmetic number, because the mean of its divisors is an integer number (12265573950).

Almost surely, 2^{2873535799680} is an apocalyptic number.

2873535799680 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 2873535799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279973862400).

2873535799680 is an abundant number, since it is smaller than the sum of its proper divisors (9686411925120).

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

2873535799680 is a wasteful number, since it uses less digits than its factorization.

2873535799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 2873535799680 in words is "two trillion, eight hundred seventy-three billion, five hundred thirty-five million, seven hundred ninety-nine thousand, six hundred eighty".