10687956480 has 640 divisors, whose sum is σ = 40587402240. Its totient is φ = 2693357568.

The previous prime is 10687956469. The next prime is 10687956553. The reversal of 10687956480 is 8465978601.

10687956480 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 79 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10687956480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128770519 + ... + 128770601.

It is an arithmetic number, because the mean of its divisors is an integer number (63417816).

Almost surely, 2^10687956480 is an apocalyptic number.

10687956480 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 10687956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293701120).

10687956480 is an abundant number, since it is smaller than the sum of its proper divisors (29899445760).

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

10687956480 is an frugal number, since it uses more digits than its factorization.

10687956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10687956480 in words is "ten billion, six hundred eighty-seven million, nine hundred fifty-six thousand, four hundred eighty".