21052763270700 has 288 divisors, whose sum is σ = 70352558481408. Its totient is φ = 4761106560000.

The previous prime is 21052763270663. The next prime is 21052763270723. The reversal of 21052763270700 is 707236725012.

It is a happy number.

It is a super-2 number, since 2×21052763270700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 311965362 + ... + 312032838.

Almost surely, 2^{21052763270700} is an apocalyptic number.

21052763270700 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 21052763270700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176279240704).

21052763270700 is an abundant number, since it is smaller than the sum of its proper divisors (49299795210708).

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

21052763270700 is a wasteful number, since it uses less digits than its factorization.

21052763270700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69073 (or 69066 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

Adding to 21052763270700 its reverse (707236725012), we get a palindrome (21759999995712).

The spelling of 21052763270700 in words is "twenty-one trillion, fifty-two billion, seven hundred sixty-three million, two hundred seventy thousand, seven hundred".