20435454627840 has 1664 divisors, whose sum is σ = 86441601945600. Its totient is φ = 4482851143680.

The previous prime is 20435454627829. The next prime is 20435454627851. The reversal of 20435454627840 is 4872645453402.

It is a happy number.

20435454627840 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 5 + 4 + 5 + 4 + 627 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20435454627829) and next prime (20435454627851).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9820015600 + ... + 9820017680.

Almost surely, 2^{20435454627840} is an apocalyptic number.

20435454627840 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 20435454627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43220800972800).

20435454627840 is an abundant number, since it is smaller than the sum of its proper divisors (66006147317760).

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

20435454627840 is a wasteful number, since it uses less digits than its factorization.

20435454627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 20435454627840 in words is "twenty trillion, four hundred thirty-five billion, four hundred fifty-four million, six hundred twenty-seven thousand, eight hundred forty".