20219981456052 has 480 divisors, whose sum is σ = 64512446423040. Its totient is φ = 5398036680960.

The previous prime is 20219981455979. The next prime is 20219981456189. The reversal of 20219981456052 is 25065418991202.

20219981456052 is a `hidden beast` number, since 2 + 0 + 2 + 19 + 9 + 8 + 14 + 5 + 605 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20219981456052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 403672153 + ... + 403722239.

It is an arithmetic number, because the mean of its divisors is an integer number (134400930048).

Almost surely, 2^{20219981456052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20219981456052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256223211520).

20219981456052 is an abundant number, since it is smaller than the sum of its proper divisors (44292464966988).

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

20219981456052 is a wasteful number, since it uses less digits than its factorization.

20219981456052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50313 (or 50302 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 20219981456052 in words is "twenty trillion, two hundred nineteen billion, nine hundred eighty-one million, four hundred fifty-six thousand, fifty-two".