20404872904500 has 384 divisors, whose sum is σ = 76120448302080. Its totient is φ = 4622694451200.

The previous prime is 20404872904469. The next prime is 20404872904511. The reversal of 20404872904500 is 540927840402.

20404872904500 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 48 + 72 + 90 + 450 + 0 = 666.

It is a super-2 number, since 2×20404872904500² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9723082 + ... + 11633918.

It is an arithmetic number, because the mean of its divisors is an integer number (198230334120).

Almost surely, 2^{20404872904500} is an apocalyptic number.

20404872904500 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 20404872904500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060224151040).

20404872904500 is an abundant number, since it is smaller than the sum of its proper divisors (55715575397580).

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

20404872904500 is a wasteful number, since it uses less digits than its factorization.

20404872904500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910985 (or 1910967 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20404872904500 in words is "twenty trillion, four hundred four billion, eight hundred seventy-two million, nine hundred four thousand, five hundred".