10787461600 has 72 divisors (see below), whose sum is σ = 26947415880. Its totient is φ = 4214622720.

The previous prime is 10787461589. The next prime is 10787461621. The reversal of 10787461600 is 616478701.

10787461600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122395 + ... + 191194.

It is an arithmetic number, because the mean of its divisors is an integer number (374269665).

Almost surely, 2^10787461600 is an apocalyptic number.

10787461600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10787461600 is an abundant number, since it is smaller than the sum of its proper divisors (16159954280).

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

10787461600 is a wasteful number, since it uses less digits than its factorization.

10787461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313652 (or 313639 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 10787461600 in words is "ten billion, seven hundred eighty-seven million, four hundred sixty-one thousand, six hundred".