21782126700 has 108 divisors (see below), whose sum is σ = 68325432448. Its totient is φ = 5804265600.

The previous prime is 21782126689. The next prime is 21782126711. The reversal of 21782126700 is 762128712.

It is an interprime number because it is at equal distance from previous prime (21782126689) and next prime (21782126711).

It is a super-2 number, since 2×21782126700² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1315674 + ... + 1332126.

Almost surely, 2^21782126700 is an apocalyptic number.

21782126700 is a gapful number since it is divisible by the number (20) 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 21782126700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34162716224).

21782126700 is an abundant number, since it is smaller than the sum of its proper divisors (46543305748).

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

21782126700 is a wasteful number, since it uses less digits than its factorization.

21782126700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 17934 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 21782126700 in words is "twenty-one billion, seven hundred eighty-two million, one hundred twenty-six thousand, seven hundred".