126465826500 has 504 divisors, whose sum is σ = 448636216392. Its totient is φ = 31114886400.

The previous prime is 126465826493. The next prime is 126465826511. The reversal of 126465826500 is 5628564621.

126465826500 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 6 + 582 + 65 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 121953211524 + 4512614976 = 349218^2 + 67176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 61599474 + ... + 61601526.

It is an arithmetic number, because the mean of its divisors is an integer number (890151223).

Almost surely, 2^126465826500 is an apocalyptic number.

126465826500 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 126465826500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224318108196).

126465826500 is an abundant number, since it is smaller than the sum of its proper divisors (322170389892).

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

126465826500 is a wasteful number, since it uses less digits than its factorization.

126465826500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 126465826500 in words is "one hundred twenty-six billion, four hundred sixty-five million, eight hundred twenty-six thousand, five hundred".