126568879800 has 288 divisors, whose sum is σ = 431952197040. Its totient is φ = 30635264000.

The previous prime is 126568879777. The next prime is 126568879823. The reversal of 126568879800 is 8978865621.

It is an interprime number because it is at equal distance from previous prime (126568879777) and next prime (126568879823).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73542940 + ... + 73544660.

Almost surely, 2^126568879800 is an apocalyptic number.

126568879800 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 126568879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215976098520).

126568879800 is an abundant number, since it is smaller than the sum of its proper divisors (305383317240).

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

126568879800 is a wasteful number, since it uses less digits than its factorization.

126568879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 126568879800 in words is "one hundred twenty-six billion, five hundred sixty-eight million, eight hundred seventy-nine thousand, eight hundred".