20071054953600 has 3072 divisors, whose sum is σ = 84858568704000. Its totient is φ = 4154753433600.

The previous prime is 20071054953563. The next prime is 20071054953601. The reversal of 20071054953600 is 635945017002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20071054953601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 194864611149 + ... + 194864611251.

It is an arithmetic number, because the mean of its divisors is an integer number (27623232000).

Almost surely, 2^{20071054953600} is an apocalyptic number.

20071054953600 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 20071054953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42429284352000).

20071054953600 is an abundant number, since it is smaller than the sum of its proper divisors (64787513750400).

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

20071054953600 is a wasteful number, since it uses less digits than its factorization.

20071054953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 20071054953600 in words is "twenty trillion, seventy-one billion, fifty-four million, nine hundred fifty-three thousand, six hundred".