248561711790 has 128 divisors (see below), whose sum is σ = 705632256000. Its totient is φ = 54827490816.

The previous prime is 248561711767. The next prime is 248561711803. The reversal of 248561711790 is 97117165842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13626396 + ... + 13644624.

It is an arithmetic number, because the mean of its divisors is an integer number (5512752000).

Almost surely, 2^248561711790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248561711790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352816128000).

248561711790 is an abundant number, since it is smaller than the sum of its proper divisors (457070544210).

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

248561711790 is a wasteful number, since it uses less digits than its factorization.

248561711790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20514.

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 248561711790 in words is "two hundred forty-eight billion, five hundred sixty-one million, seven hundred eleven thousand, seven hundred ninety".