20517142577400 has 288 divisors, whose sum is σ = 78764670167040. Its totient is φ = 4688565223680.

The previous prime is 20517142577387. The next prime is 20517142577447. The reversal of 20517142577400 is 477524171502.

It is a happy number.

20517142577400 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 71 + 4 + 2 + 577 + 4 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 55849117 + ... + 56215283.

It is an arithmetic number, because the mean of its divisors is an integer number (273488438080).

Almost surely, 2^{20517142577400} is an apocalyptic number.

20517142577400 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 20517142577400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382335083520).

20517142577400 is an abundant number, since it is smaller than the sum of its proper divisors (58247527589640).

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

20517142577400 is a wasteful number, since it uses less digits than its factorization.

20517142577400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370643 (or 370631 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 20517142577400 in words is "twenty trillion, five hundred seventeen billion, one hundred forty-two million, five hundred seventy-seven thousand, four hundred".