126011555280 has 960 divisors, whose sum is σ = 510507325440. Its totient is φ = 28366848000.

The previous prime is 126011555269. The next prime is 126011555281. The reversal of 126011555280 is 82555110621.

126011555280 is a `hidden beast` number, since 1 + 26 + 0 + 1 + 1 + 5 + 552 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126011555281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 314243080 + ... + 314243480.

It is an arithmetic number, because the mean of its divisors is an integer number (531778464).

Almost surely, 2^126011555280 is an apocalyptic number.

126011555280 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 126011555280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255253662720).

126011555280 is an abundant number, since it is smaller than the sum of its proper divisors (384495770160).

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

126011555280 is a wasteful number, since it uses less digits than its factorization.

126011555280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 126011555280 in words is "one hundred twenty-six billion, eleven million, five hundred fifty-five thousand, two hundred eighty".