20611385755740 has 1440 divisors, whose sum is σ = 75899113988544. Its totient is φ = 4662793175040.

The previous prime is 20611385755711. The next prime is 20611385755783. The reversal of 20611385755740 is 4755758311602.

20611385755740 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 1 + 3 + 85 + 7 + 557 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 48958160730 + ... + 48958161150.

Almost surely, 2^{20611385755740} is an apocalyptic number.

20611385755740 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 20611385755740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37949556994272).

20611385755740 is an abundant number, since it is smaller than the sum of its proper divisors (55287728232804).

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

20611385755740 is a wasteful number, since it uses less digits than its factorization.

20611385755740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 20611385755740 in words is "twenty trillion, six hundred eleven billion, three hundred eighty-five million, seven hundred fifty-five thousand, seven hundred forty".