20953607818542 has 96 divisors (see below), whose sum is σ = 48925976980608. Its totient is φ = 5965074932544.

The previous prime is 20953607818519. The next prime is 20953607818543. The reversal of 20953607818542 is 24581870635902.

It is a super-2 number, since 2×20953607818542² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20953607818543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92838033 + ... + 93063459.

It is an arithmetic number, because the mean of its divisors is an integer number (509645593548).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20953607818542 = 41907215637084, but 3⋅20953607818542 = 62860823455626 is not.

Almost surely, 2^{20953607818542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20953607818542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462988490304).

20953607818542 is an abundant number, since it is smaller than the sum of its proper divisors (27972369162066).

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

20953607818542 is a wasteful number, since it uses less digits than its factorization.

20953607818542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226590 (or 226583 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 20953607818542 in words is "twenty trillion, nine hundred fifty-three billion, six hundred seven million, eight hundred eighteen thousand, five hundred forty-two".