49097486992320 has 2240 divisors, whose sum is σ = 195606911808000. Its totient is φ = 11615310544896.

The previous prime is 49097486992291. The next prime is 49097486992327. The reversal of 49097486992320 is 2329968479094.

49097486992320 is a `hidden beast` number, since 4 + 90 + 9 + 74 + 8 + 69 + 92 + 320 = 666.

It is a super-2 number, since 2×49097486992320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49097486992327) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 301211576559 + ... + 301211576721.

It is an arithmetic number, because the mean of its divisors is an integer number (87324514200).

Almost surely, 2^{49097486992320} is an apocalyptic number.

49097486992320 is a gapful number since it is divisible by the number (40) 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 49097486992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97803455904000).

49097486992320 is an abundant number, since it is smaller than the sum of its proper divisors (146509424815680).

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

49097486992320 is a wasteful number, since it uses less digits than its factorization.

49097486992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 49097486992320 in words is "forty-nine trillion, ninety-seven billion, four hundred eighty-six million, nine hundred ninety-two thousand, three hundred twenty".