12540167640 has 1536 divisors, whose sum is σ = 61138022400. Its totient is φ = 2141061120.

The previous prime is 12540167573. The next prime is 12540167669. The reversal of 12540167640 is 4676104521.

12540167640 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 1 + 6 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12540167595 and 12540167604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140900716 + ... + 140900804.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^12540167640 is an apocalyptic number.

12540167640 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 12540167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569011200).

12540167640 is an abundant number, since it is smaller than the sum of its proper divisors (48597854760).

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

12540167640 is a wasteful number, since it uses less digits than its factorization.

12540167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12540167640 in words is "twelve billion, five hundred forty million, one hundred sixty-seven thousand, six hundred forty".