20138246295552 has 624 divisors, whose sum is σ = 72578976357888. Its totient is φ = 5226728325120.

The previous prime is 20138246295527. The next prime is 20138246295569. The reversal of 20138246295552 is 25559264283102.

20138246295552 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 2 + 4 + 629 + 5 + 5 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6366816723 + ... + 6366819885.

It is an arithmetic number, because the mean of its divisors is an integer number (116312462112).

Almost surely, 2^{20138246295552} is an apocalyptic number.

20138246295552 is a gapful number since it is divisible by the number (22) 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 20138246295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36289488178944).

20138246295552 is an abundant number, since it is smaller than the sum of its proper divisors (52440730062336).

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

20138246295552 is a wasteful number, since it uses less digits than its factorization.

20138246295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 20138246295552 in words is "twenty trillion, one hundred thirty-eight billion, two hundred forty-six million, two hundred ninety-five thousand, five hundred fifty-two".