10872350720 has 192 divisors, whose sum is σ = 32526748800. Its totient is φ = 3388538880.

The previous prime is 10872350701. The next prime is 10872350761. The reversal of 10872350720 is 2705327801.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781586 + ... + 795374.

It is an arithmetic number, because the mean of its divisors is an integer number (169410150).

Almost surely, 2^10872350720 is an apocalyptic number.

10872350720 is a gapful number since it is divisible by the number (10) 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 10872350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263374400).

10872350720 is an abundant number, since it is smaller than the sum of its proper divisors (21654398080).

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

10872350720 is a wasteful number, since it uses less digits than its factorization.

10872350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 10872350720 in words is "ten billion, eight hundred seventy-two million, three hundred fifty thousand, seven hundred twenty".