2638172160000 has 1280 divisors, whose sum is σ = 10547758636800. Its totient is φ = 647626752000.

The previous prime is 2638172159963. The next prime is 2638172160031. The reversal of 2638172160000 is 612718362.

2638172160000 is a `hidden beast` number, since 2 + 6 + 38 + 17 + 2 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7188479817 + ... + 7188480183.

It is an arithmetic number, because the mean of its divisors is an integer number (8240436435).

Almost surely, 2^{2638172160000} is an apocalyptic number.

2638172160000 is a gapful number since it is divisible by the number (20) 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 2638172160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273879318400).

2638172160000 is an abundant number, since it is smaller than the sum of its proper divisors (7909586476800).

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

2638172160000 is an frugal number, since it uses more digits than its factorization.

2638172160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 2638172160000 its reverse (612718362), we get a palindrome (2638784878362).

The spelling of 2638172160000 in words is "two trillion, six hundred thirty-eight billion, one hundred seventy-two million, one hundred sixty thousand".