126430072488720 has 3840 divisors, whose sum is σ = 613396420116480. Its totient is φ = 23110520832000.

The previous prime is 126430072488719. The next prime is 126430072488739. The reversal of 126430072488720 is 27884270034621.

126430072488720 is a `hidden beast` number, since 1 + 2 + 6 + 430 + 0 + 72 + 48 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 147526338532 + ... + 147526339388.

It is an arithmetic number, because the mean of its divisors is an integer number (159738651072).

Almost surely, 2^{126430072488720} is an apocalyptic number.

126430072488720 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 126430072488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306698210058240).

126430072488720 is an abundant number, since it is smaller than the sum of its proper divisors (486966347627760).

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

126430072488720 is a wasteful number, since it uses less digits than its factorization.

126430072488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 126430072488720 in words is "one hundred twenty-six trillion, four hundred thirty billion, seventy-two million, four hundred eighty-eight thousand, seven hundred twenty".