20259472645440 has 560 divisors, whose sum is σ = 82428588000000. Its totient is φ = 4626977292288.

The previous prime is 20259472645409. The next prime is 20259472645453. The reversal of 20259472645440 is 4454627495202.

20259472645440 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 94 + 7 + 2 + 6 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 226573861 + ... + 226663259.

Almost surely, 2^{20259472645440} is an apocalyptic number.

20259472645440 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 20259472645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41214294000000).

20259472645440 is an abundant number, since it is smaller than the sum of its proper divisors (62169115354560).

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

20259472645440 is a wasteful number, since it uses less digits than its factorization.

20259472645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90684 (or 90665 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 20259472645440 in words is "twenty trillion, two hundred fifty-nine billion, four hundred seventy-two million, six hundred forty-five thousand, four hundred forty".