20707354145880 has 1024 divisors, whose sum is σ = 78955845120000. Its totient is φ = 4855675797504.

The previous prime is 20707354145873. The next prime is 20707354145893. The reversal of 20707354145880 is 8854145370702.

20707354145880 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 7 + 3 + 54 + 1 + 4 + 588 + 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 255 ways as a sum of consecutive naturals, for example, 2062685901 + ... + 2062695939.

It is an arithmetic number, because the mean of its divisors is an integer number (77105317500).

Almost surely, 2^{20707354145880} is an apocalyptic number.

20707354145880 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 20707354145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39477922560000).

20707354145880 is an abundant number, since it is smaller than the sum of its proper divisors (58248490974120).

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

20707354145880 is a wasteful number, since it uses less digits than its factorization.

20707354145880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 20707354145880 in words is "twenty trillion, seven hundred seven billion, three hundred fifty-four million, one hundred forty-five thousand, eight hundred eighty".