248499556058880 has 1152 divisors, whose sum is σ = 1084580642396160. Its totient is φ = 52582302351360.

The previous prime is 248499556058861. The next prime is 248499556058891. The reversal of 248499556058880 is 88850655994842.

It is a happy number.

248499556058880 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 9 + 9 + 556 + 0 + 58 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×248499556058880² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248499556058880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250375767 + ... + 251366313.

It is an arithmetic number, because the mean of its divisors is an integer number (941476252080).

Almost surely, 2^{248499556058880} is an apocalyptic number.

248499556058880 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 248499556058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542290321198080).

248499556058880 is an abundant number, since it is smaller than the sum of its proper divisors (836081086337280).

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

248499556058880 is a wasteful number, since it uses less digits than its factorization.

248499556058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990662 (or 990642 counting only the distinct ones).

The product of its (nonzero) digits is 7962624000, while the sum is 81.

The spelling of 248499556058880 in words is "two hundred forty-eight trillion, four hundred ninety-nine billion, five hundred fifty-six million, fifty-eight thousand, eight hundred eighty".