126365633500 has 192 divisors, whose sum is σ = 286820352000. Its totient is φ = 48609120000.

The previous prime is 126365633497. The next prime is 126365633507. The reversal of 126365633500 is 5336563621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126365633507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528726381 + ... + 528726619.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856000).

Almost surely, 2^126365633500 is an apocalyptic number.

126365633500 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 126365633500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176000).

126365633500 is an abundant number, since it is smaller than the sum of its proper divisors (160454718500).

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

126365633500 is a wasteful number, since it uses less digits than its factorization.

126365633500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

The spelling of 126365633500 in words is "one hundred twenty-six billion, three hundred sixty-five million, six hundred thirty-three thousand, five hundred".