248079995222400 has 2880 divisors, whose sum is σ = 1054196452108800. Its totient is φ = 57296802816000.

The previous prime is 248079995222363. The next prime is 248079995222407. The reversal of 248079995222400 is 4222599970842.

248079995222400 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 79 + 99 + 52 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248079995222407) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 238768041081 + ... + 238768042119.

It is an arithmetic number, because the mean of its divisors is an integer number (366040434760).

Almost surely, 2^{248079995222400} is an apocalyptic number.

248079995222400 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 248079995222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527098226054400).

248079995222400 is an abundant number, since it is smaller than the sum of its proper divisors (806116456886400).

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

248079995222400 is a wasteful number, since it uses less digits than its factorization.

248079995222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 248079995222400 in words is "two hundred forty-eight trillion, seventy-nine billion, nine hundred ninety-five million, two hundred twenty-two thousand, four hundred".