10787902272 has 224 divisors, whose sum is σ = 36322406400. Its totient is φ = 3075687936.

The previous prime is 10787902261. The next prime is 10787902273. The reversal of 10787902272 is 27220978701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10787902273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10148013 + ... + 10149075.

It is an arithmetic number, because the mean of its divisors is an integer number (162153600).

Almost surely, 2^10787902272 is an apocalyptic number.

10787902272 is a gapful number since it is divisible by the number (12) 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 10787902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161203200).

10787902272 is an abundant number, since it is smaller than the sum of its proper divisors (25534504128).

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

10787902272 is a wasteful number, since it uses less digits than its factorization.

10787902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10787902272 in words is "ten billion, seven hundred eighty-seven million, nine hundred two thousand, two hundred seventy-two".