126250850880 has 1680 divisors, whose sum is σ = 602726686848. Its totient is φ = 24286003200.

The previous prime is 126250850851. The next prime is 126250850933. The reversal of 126250850880 is 88058052621.

126250850880 is a `hidden beast` number, since 1 + 2 + 62 + 5 + 0 + 8 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2069686050 + ... + 2069686110.

Almost surely, 2^126250850880 is an apocalyptic number.

126250850880 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 126250850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301363343424).

126250850880 is an abundant number, since it is smaller than the sum of its proper divisors (476475835968).

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

126250850880 is a wasteful number, since it uses less digits than its factorization.

126250850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 126250850880 in words is "one hundred twenty-six billion, two hundred fifty million, eight hundred fifty thousand, eight hundred eighty".