126706200480 has 240 divisors, whose sum is σ = 454749150240. Its totient is φ = 33215436288.

The previous prime is 126706200473. The next prime is 126706200553. The reversal of 126706200480 is 84002607621.

126706200480 is a `hidden beast` number, since 1 + 26 + 7 + 0 + 620 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126706200480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 681787 + ... + 847493.

It is an arithmetic number, because the mean of its divisors is an integer number (1894788126).

Almost surely, 2^126706200480 is an apocalyptic number.

126706200480 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 126706200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227374575120).

126706200480 is an abundant number, since it is smaller than the sum of its proper divisors (328042949760).

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

126706200480 is a wasteful number, since it uses less digits than its factorization.

126706200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165793 (or 165776 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 126706200480 in words is "one hundred twenty-six billion, seven hundred six million, two hundred thousand, four hundred eighty".