126724264128000 has 9600 divisors, whose sum is σ = 657471919104000. Its totient is φ = 24141680640000.

The previous prime is 126724264127987. The next prime is 126724264128047. The reversal of 126724264128000 is 821462427621.

126724264128000 is a `hidden beast` number, since 1 + 267 + 2 + 4 + 264 + 128 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

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 959 ways as a sum of consecutive naturals, for example, 4087879487985 + ... + 4087879488015.

It is an arithmetic number, because the mean of its divisors is an integer number (68486658240).

Almost surely, 2^{126724264128000} is an apocalyptic number.

126724264128000 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 126724264128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328735959552000).

126724264128000 is an abundant number, since it is smaller than the sum of its proper divisors (530747654976000).

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

126724264128000 is an equidigital number, since it uses as much as digits as its factorization.

126724264128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 126724264128000 in words is "one hundred twenty-six trillion, seven hundred twenty-four billion, two hundred sixty-four million, one hundred twenty-eight thousand".