20549377124640 has 576 divisors, whose sum is σ = 88068786624000. Its totient is φ = 4335691401216.

The previous prime is 20549377124503. The next prime is 20549377124657. The reversal of 20549377124640 is 4642177394502.

20549377124640 is a `hidden beast` number, since 2 + 0 + 5 + 493 + 7 + 71 + 2 + 46 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4820781 + ... + 8021139.

It is an arithmetic number, because the mean of its divisors is an integer number (152897199000).

Almost surely, 2^{20549377124640} is an apocalyptic number.

20549377124640 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 20549377124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44034393312000).

20549377124640 is an abundant number, since it is smaller than the sum of its proper divisors (67519409499360).

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

20549377124640 is a wasteful number, since it uses less digits than its factorization.

20549377124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200414 (or 3200389 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 20549377124640 in words is "twenty trillion, five hundred forty-nine billion, three hundred seventy-seven million, one hundred twenty-four thousand, six hundred forty".