49245932257280 has 768 divisors, whose sum is σ = 134198106134400. Its totient is φ = 17326879539200.

The previous prime is 49245932257271. The next prime is 49245932257289. The reversal of 49245932257280 is 8275223954294.

It is an interprime number because it is at equal distance from previous prime (49245932257271) and next prime (49245932257289).

It is a super-2 number, since 2×49245932257280² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49245932257289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83045416664 + ... + 83045417256.

Almost surely, 2^{49245932257280} is an apocalyptic number.

49245932257280 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 49245932257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67099053067200).

49245932257280 is an abundant number, since it is smaller than the sum of its proper divisors (84952173877120).

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

49245932257280 is an equidigital number, since it uses as much as digits as its factorization.

49245932257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 49245932257280 in words is "forty-nine trillion, two hundred forty-five billion, nine hundred thirty-two million, two hundred fifty-seven thousand, two hundred eighty".