20529067878144 has 216 divisors, whose sum is σ = 67862268425952. Its totient is φ = 5846707077120.

The previous prime is 20529067878101. The next prime is 20529067878197. The reversal of 20529067878144 is 44187876092502.

It is a happy number.

20529067878144 is a `hidden beast` number, since 2 + 0 + 529 + 0 + 67 + 8 + 7 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014704 + ... + 7081424.

Almost surely, 2^{20529067878144} is an apocalyptic number.

20529067878144 is a gapful number since it is divisible by the number (24) 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 20529067878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33931134212976).

20529067878144 is an abundant number, since it is smaller than the sum of its proper divisors (47333200547808).

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

20529067878144 is a wasteful number, since it uses less digits than its factorization.

20529067878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067063 (or 4067046 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 20529067878144 in words is "twenty trillion, five hundred twenty-nine billion, sixty-seven million, eight hundred seventy-eight thousand, one hundred forty-four".