126070811904 has 576 divisors, whose sum is σ = 396717834240. Its totient is φ = 35273441280.

The previous prime is 126070811899. The next prime is 126070811959. The reversal of 126070811904 is 409118070621.

It is a super-2 number, since 2×126070811904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269958679 + ... + 269959145.

It is an arithmetic number, because the mean of its divisors is an integer number (688746240).

Almost surely, 2^126070811904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126070811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198358917120).

126070811904 is an abundant number, since it is smaller than the sum of its proper divisors (270647022336).

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

126070811904 is a wasteful number, since it uses less digits than its factorization.

126070811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 126070811904 in words is "one hundred twenty-six billion, seventy million, eight hundred eleven thousand, nine hundred four".