126252754223310 has 768 divisors, whose sum is σ = 398752711418880. Its totient is φ = 27303091200000.

The previous prime is 126252754223257. The next prime is 126252754223317. The reversal of 126252754223310 is 13322457252621.

126252754223310 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 5 + 275 + 42 + 2 + 331 + 0 = 666.

It is a super-2 number, since 2×126252754223310² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126252754223317) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50080424850 + ... + 50080427370.

It is an arithmetic number, because the mean of its divisors is an integer number (519209259660).

Almost surely, 2^{126252754223310} is an apocalyptic number.

126252754223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126252754223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199376355709440).

126252754223310 is an abundant number, since it is smaller than the sum of its proper divisors (272499957195570).

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

126252754223310 is a wasteful number, since it uses less digits than its factorization.

126252754223310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 126252754223310 in words is "one hundred twenty-six trillion, two hundred fifty-two billion, seven hundred fifty-four million, two hundred twenty-three thousand, three hundred ten".