873013290240 has 1728 divisors, whose sum is σ = 3739291637760. Its totient is φ = 171674173440.

The previous prime is 873013290223. The next prime is 873013290293. The reversal of 873013290240 is 42092310378.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2199025722 + ... + 2199026118.

It is an arithmetic number, because the mean of its divisors is an integer number (2163941920).

Almost surely, 2^873013290240 is an apocalyptic number.

873013290240 is a gapful number since it is divisible by the number (80) 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 873013290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869645818880).

873013290240 is an abundant number, since it is smaller than the sum of its proper divisors (2866278347520).

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

873013290240 is a wasteful number, since it uses less digits than its factorization.

873013290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 873013290240 in words is "eight hundred seventy-three billion, thirteen million, two hundred ninety thousand, two hundred forty".