126726088320 has 384 divisors, whose sum is σ = 474896822400. Its totient is φ = 30953594880.

The previous prime is 126726088301. The next prime is 126726088373. The reversal of 126726088320 is 23880627621.

126726088320 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 608 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 9802821 + ... + 9815739.

It is an arithmetic number, because the mean of its divisors is an integer number (1236710475).

Almost surely, 2^126726088320 is an apocalyptic number.

126726088320 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 126726088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237448411200).

126726088320 is an abundant number, since it is smaller than the sum of its proper divisors (348170734080).

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

126726088320 is a wasteful number, since it uses less digits than its factorization.

126726088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13088 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126726088320 in words is "one hundred twenty-six billion, seven hundred twenty-six million, eighty-eight thousand, three hundred twenty".