20054705552640 has 4032 divisors, whose sum is σ = 91725740789760. Its totient is φ = 4130690826240.

The previous prime is 20054705552633. The next prime is 20054705552647. The reversal of 20054705552640 is 4625550745002.

20054705552640 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 70 + 55 + 526 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20054705552633) and next prime (20054705552647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20054705552647) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 76253633149 + ... + 76253633411.

It is an arithmetic number, because the mean of its divisors is an integer number (22749439680).

Almost surely, 2^{20054705552640} is an apocalyptic number.

20054705552640 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 20054705552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45862870394880).

20054705552640 is an abundant number, since it is smaller than the sum of its proper divisors (71671035237120).

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

20054705552640 is a wasteful number, since it uses less digits than its factorization.

20054705552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 20054705552640 in words is "twenty trillion, fifty-four billion, seven hundred five million, five hundred fifty-two thousand, six hundred forty".