126948851804400 has 240 divisors, whose sum is σ = 415486512875520. Its totient is φ = 33121765913600.

The previous prime is 126948851804387. The next prime is 126948851804477. The reversal of 126948851804400 is 4408158849621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126948851804400² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 20052385 + ... + 25612415.

It is an arithmetic number, because the mean of its divisors is an integer number (1731193803648).

Almost surely, 2^{126948851804400} is an apocalyptic number.

126948851804400 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 126948851804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207743256437760).

126948851804400 is an abundant number, since it is smaller than the sum of its proper divisors (288537661071120).

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

126948851804400 is a wasteful number, since it uses less digits than its factorization.

126948851804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560464 (or 5560453 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 126948851804400 in words is "one hundred twenty-six trillion, nine hundred forty-eight billion, eight hundred fifty-one million, eight hundred four thousand, four hundred".