10626048300 has 288 divisors, whose sum is σ = 38597529600. Its totient is φ = 2200746240.

The previous prime is 10626048283. The next prime is 10626048317. The reversal of 10626048300 is 384062601.

It is an interprime number because it is at equal distance from previous prime (10626048283) and next prime (10626048317).

It is a super-2 number, since 2×10626048300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 911911 + ... + 923489.

It is an arithmetic number, because the mean of its divisors is an integer number (134019200).

Almost surely, 2^10626048300 is an apocalyptic number.

10626048300 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 10626048300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19298764800).

10626048300 is an abundant number, since it is smaller than the sum of its proper divisors (27971481300).

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

10626048300 is a wasteful number, since it uses less digits than its factorization.

10626048300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11645 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10626048300 in words is "ten billion, six hundred twenty-six million, forty-eight thousand, three hundred".