10016787456 has 528 divisors, whose sum is σ = 34148872800. Its totient is φ = 2879815680.

The previous prime is 10016787433. The next prime is 10016787463. The reversal of 10016787456 is 65478761001.

10016787456 is a `hidden beast` number, since 100 + 16 + 7 + 87 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323122161 + ... + 323122191.

Almost surely, 2^10016787456 is an apocalyptic number.

10016787456 is a gapful number since it is divisible by the number (16) 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 10016787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074436400).

10016787456 is an abundant number, since it is smaller than the sum of its proper divisors (24132085344).

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

10016787456 is a wasteful number, since it uses less digits than its factorization.

10016787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10016787456 in words is "ten billion, sixteen million, seven hundred eighty-seven thousand, four hundred fifty-six".