247913290120320 has 2560 divisors, whose sum is σ = 1060234355980800. Its totient is φ = 54494287626240.

The previous prime is 247913290120253. The next prime is 247913290120403. The reversal of 247913290120320 is 23021092319742.

It is a happy number.

247913290120320 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 13 + 290 + 1 + 20 + 320 = 666.

It is a super-2 number, since 2×247913290120320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 204380288034 + ... + 204380289246.

It is an arithmetic number, because the mean of its divisors is an integer number (414154045305).

Almost surely, 2^{247913290120320} is an apocalyptic number.

247913290120320 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 247913290120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530117177990400).

247913290120320 is an abundant number, since it is smaller than the sum of its proper divisors (812321065860480).

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

247913290120320 is a wasteful number, since it uses less digits than its factorization.

247913290120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 247913290120320 in words is "two hundred forty-seven trillion, nine hundred thirteen billion, two hundred ninety million, one hundred twenty thousand, three hundred twenty".