20177434659248 has 60 divisors (see below), whose sum is σ = 40527140706360. Its totient is φ = 9731470360320.

The previous prime is 20177434659247. The next prime is 20177434659251. The reversal of 20177434659248 is 84295643477102.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (20177434659247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2583188 + ... + 6857676.

It is an arithmetic number, because the mean of its divisors is an integer number (675452345106).

It is a 1-persistent number, because it is pandigital, but 2⋅20177434659248 = 40354869318496 is not.

Almost surely, 2^{20177434659248} 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 20177434659248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263570353180).

20177434659248 is an abundant number, since it is smaller than the sum of its proper divisors (20349706047112).

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

20177434659248 is a wasteful number, since it uses less digits than its factorization.

20177434659248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274866 (or 4274829 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 20177434659248 in words is "twenty trillion, one hundred seventy-seven billion, four hundred thirty-four million, six hundred fifty-nine thousand, two hundred forty-eight".