10626021000 has 384 divisors, whose sum is σ = 41355624960. Its totient is φ = 2410560000.

The previous prime is 10626020947. The next prime is 10626021011. The reversal of 10626021000 is 12062601.

It is a happy number.

10626021000 is a `hidden beast` number, since 1 + 0 + 62 + 602 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10626021000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9512442 + ... + 9513558.

It is an arithmetic number, because the mean of its divisors is an integer number (107696940).

Almost surely, 2^10626021000 is an apocalyptic number.

10626021000 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 10626021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677812480).

10626021000 is an abundant number, since it is smaller than the sum of its proper divisors (30729603960).

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

10626021000 is a wasteful number, since it uses less digits than its factorization.

10626021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10626021000 its reverse (12062601), we get a palindrome (10638083601).

It can be divided in two parts, 106260 and 21000, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 10626021000 in words is "ten billion, six hundred twenty-six million, twenty-one thousand".