20544179040000 has 5400 divisors, whose sum is σ = 103451111085168. Its totient is φ = 3994583040000.

The previous prime is 20544179039987. The next prime is 20544179040097. The reversal of 20544179040000 is 4097144502.

It is a happy number.

20544179040000 is a `hidden beast` number, since 2 + 0 + 544 + 1 + 79 + 0 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 118752479914 + ... + 118752480086.

Almost surely, 2^{20544179040000} is an apocalyptic number.

20544179040000 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 20544179040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51725555542584).

20544179040000 is an abundant number, since it is smaller than the sum of its proper divisors (82906932045168).

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

20544179040000 is a wasteful number, since it uses less digits than its factorization.

20544179040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20544179040000 in words is "twenty trillion, five hundred forty-four billion, one hundred seventy-nine million, forty thousand".