20312652545640 has 768 divisors, whose sum is σ = 82273170470400. Its totient is φ = 4232148590592.

The previous prime is 20312652545623. The next prime is 20312652545651. The reversal of 20312652545640 is 4654525621302.

20312652545640 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 65 + 2 + 545 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 838349046 + ... + 838373274.

It is an arithmetic number, because the mean of its divisors is an integer number (107126524050).

Almost surely, 2^{20312652545640} is an apocalyptic number.

20312652545640 is a gapful number since it is divisible by the number (20) 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 20312652545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41136585235200).

20312652545640 is an abundant number, since it is smaller than the sum of its proper divisors (61960517924760).

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

20312652545640 is a wasteful number, since it uses less digits than its factorization.

20312652545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24586 (or 24579 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 20312652545640 in words is "twenty trillion, three hundred twelve billion, six hundred fifty-two million, five hundred forty-five thousand, six hundred forty".