248179937280 has 416 divisors, whose sum is σ = 917267234688. Its totient is φ = 56623104000.

The previous prime is 248179937273. The next prime is 248179937321. The reversal of 248179937280 is 82739971842.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11478480 + ... + 11500080.

Almost surely, 2^248179937280 is an apocalyptic number.

248179937280 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 248179937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458633617344).

248179937280 is an abundant number, since it is smaller than the sum of its proper divisors (669087297408).

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

248179937280 is a wasteful number, since it uses less digits than its factorization.

248179937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21639 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 248179937280 in words is "two hundred forty-eight billion, one hundred seventy-nine million, nine hundred thirty-seven thousand, two hundred eighty".