26322953748100 has 27 divisors (see below), whose sum is σ = 57120920967397. Its totient is φ = 10529160976880.

The previous prime is 26322953748079. The next prime is 26322953748101. The reversal of 26322953748100 is 184735922362.

It is a happy number.

The square root of 26322953748100 is 5130590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9476263349316 + 16846690398784 = 3078354^2 + 4104472^2 .

It is a super-2 number, since 2×26322953748100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26322953748101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51049371 + ... + 51562429.

It is a 1-persistent number, because it is pandigital, but 2⋅26322953748100 = 52645907496200 is not.

Almost surely, 2^{26322953748100} is an apocalyptic number.

26322953748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26322953748100 is the 5130590-th square number.

It is an amenable number.

26322953748100 is an abundant number, since it is smaller than the sum of its proper divisors (30797967219297).

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

26322953748100 is an frugal number, since it uses more digits than its factorization.

26322953748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026132 (or 513066 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 26322953748100 in words is "twenty-six trillion, three hundred twenty-two billion, nine hundred fifty-three million, seven hundred forty-eight thousand, one hundred".