26425123200 has 1152 divisors, whose sum is σ = 116017574400. Its totient is φ = 5595955200.

The previous prime is 26425123189. The next prime is 26425123211. The reversal of 26425123200 is 232152462.

It is a happy number.

26425123200 is a `hidden beast` number, since 2 + 6 + 425 + 1 + 232 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26425123189) and next prime (26425123211).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×26425123200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190108731 + ... + 190108869.

It is an arithmetic number, because the mean of its divisors is an integer number (100709700).

Almost surely, 2^26425123200 is an apocalyptic number.

26425123200 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 26425123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008787200).

26425123200 is an abundant number, since it is smaller than the sum of its proper divisors (89592451200).

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

26425123200 is a wasteful number, since it uses less digits than its factorization.

26425123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 26425123200 its reverse (232152462), we get a palindrome (26657275662).

The spelling of 26425123200 in words is "twenty-six billion, four hundred twenty-five million, one hundred twenty-three thousand, two hundred".