126728512470 has 256 divisors, whose sum is σ = 391306567680. Its totient is φ = 28586815488.

The previous prime is 126728512457. The next prime is 126728512483. The reversal of 126728512470 is 74215827621.

126728512470 is a `hidden beast` number, since 1 + 2 + 67 + 2 + 8 + 512 + 4 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (126728512457) and next prime (126728512483).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84881044 + ... + 84882536.

It is an arithmetic number, because the mean of its divisors is an integer number (1528541280).

Almost surely, 2^126728512470 is an apocalyptic number.

126728512470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126728512470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195653283840).

126728512470 is an abundant number, since it is smaller than the sum of its proper divisors (264578055210).

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

126728512470 is a wasteful number, since it uses less digits than its factorization.

126728512470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 126728512470 in words is "one hundred twenty-six billion, seven hundred twenty-eight million, five hundred twelve thousand, four hundred seventy".