126261015264 has 288 divisors, whose sum is σ = 374659084800. Its totient is φ = 40300416000.

The previous prime is 126261015241. The next prime is 126261015281. The reversal of 126261015264 is 462510162621.

126261015264 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 610 + 15 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 210786037 + ... + 210786635.

It is an arithmetic number, because the mean of its divisors is an integer number (1300899600).

Almost surely, 2^126261015264 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 126261015264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187329542400).

126261015264 is an abundant number, since it is smaller than the sum of its proper divisors (248398069536).

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

126261015264 is a wasteful number, since it uses less digits than its factorization.

126261015264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 126261015264 its reverse (462510162621), we get a palindrome (588771177885).

The spelling of 126261015264 in words is "one hundred twenty-six billion, two hundred sixty-one million, fifteen thousand, two hundred sixty-four".