10624860090 has 192 divisors, whose sum is σ = 31628312352. Its totient is φ = 2451456000.

The previous prime is 10624860083. The next prime is 10624860121. The reversal of 10624860090 is 9006842601.

10624860090 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 48 + 600 + 9 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 146676321 + 10478183769 = 12111^2 + 102363^2 .

It is a super-2 number, since 2×10624860090² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5588140 + ... + 5590040.

Almost surely, 2^10624860090 is an apocalyptic number.

10624860090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10624860090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814156176).

10624860090 is an abundant number, since it is smaller than the sum of its proper divisors (21003452262).

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

10624860090 is a wasteful number, since it uses less digits than its factorization.

10624860090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 106 and 24860090, that added together give a square (24860196 = 4986²).

The spelling of 10624860090 in words is "ten billion, six hundred twenty-four million, eight hundred sixty thousand, ninety".