10787349888 has 192 divisors, whose sum is σ = 35587188000. Its totient is φ = 3072466944.

The previous prime is 10787349869. The next prime is 10787349913. The reversal of 10787349888 is 88894378701.

10787349888 is a `hidden beast` number, since 1 + 0 + 78 + 73 + 498 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10787349888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812420 + ... + 2816252.

Almost surely, 2^10787349888 is an apocalyptic number.

10787349888 is a gapful number since it is divisible by the number (18) 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 10787349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793594000).

10787349888 is an abundant number, since it is smaller than the sum of its proper divisors (24799838112).

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

10787349888 is a wasteful number, since it uses less digits than its factorization.

10787349888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 10787349888 in words is "ten billion, seven hundred eighty-seven million, three hundred forty-nine thousand, eight hundred eighty-eight".