78253738681248 has 1536 divisors, whose sum is σ = 275894702899200. Its totient is φ = 21376360857600.

The previous prime is 78253738681241. The next prime is 78253738681273. The reversal of 78253738681248 is 84218683735287.

78253738681248 is a `hidden beast` number, since 7 + 8 + 2 + 5 + 373 + 8 + 6 + 8 + 1 + 248 = 666.

It is a super-2 number, since 2×78253738681248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (78253738681241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16065228253 + ... + 16065233123.

It is an arithmetic number, because the mean of its divisors is an integer number (179618947200).

Almost surely, 2^{78253738681248} is an apocalyptic number.

78253738681248 is a gapful number since it is divisible by the number (78) 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 78253738681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137947351449600).

78253738681248 is an abundant number, since it is smaller than the sum of its proper divisors (197640964217952).

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

78253738681248 is a wasteful number, since it uses less digits than its factorization.

78253738681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5029 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 78253738681248 in words is "seventy-eight trillion, two hundred fifty-three billion, seven hundred thirty-eight million, six hundred eighty-one thousand, two hundred forty-eight".