20454840540288 has 3072 divisors, whose sum is σ = 83862604800000. Its totient is φ = 4760381767680.

The previous prime is 20454840540241. The next prime is 20454840540293. The reversal of 20454840540288 is 88204504845402.

20454840540288 is a `hidden beast` number, since 2 + 0 + 4 + 54 + 8 + 40 + 540 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×20454840540288² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 229829668948 + ... + 229829669036.

It is an arithmetic number, because the mean of its divisors is an integer number (27299025000).

Almost surely, 2^{20454840540288} is an apocalyptic number.

20454840540288 is a gapful number since it is divisible by the number (28) 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 20454840540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41931302400000).

20454840540288 is an abundant number, since it is smaller than the sum of its proper divisors (63407764259712).

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

20454840540288 is a wasteful number, since it uses less digits than its factorization.

20454840540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 20454840540288 in words is "twenty trillion, four hundred fifty-four billion, eight hundred forty million, five hundred forty thousand, two hundred eighty-eight".