10687289022720 has 1152 divisors, whose sum is σ = 42556570560000. Its totient is φ = 2526475714560.

The previous prime is 10687289022589. The next prime is 10687289022757. The reversal of 10687289022720 is 2722098278601.

10687289022720 is a `hidden beast` number, since 10 + 6 + 87 + 289 + 0 + 2 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10687289022720² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 698553631 + ... + 698568929.

It is an arithmetic number, because the mean of its divisors is an integer number (36941467500).

Almost surely, 2^{10687289022720} is an apocalyptic number.

10687289022720 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 10687289022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278285280000).

10687289022720 is an abundant number, since it is smaller than the sum of its proper divisors (31869281537280).

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

10687289022720 is a wasteful number, since it uses less digits than its factorization.

10687289022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10687289022720 in words is "ten trillion, six hundred eighty-seven billion, two hundred eighty-nine million, twenty-two thousand, seven hundred twenty".