49253184207360 has 1200 divisors, whose sum is σ = 207686844753696. Its totient is φ = 11122043240448.

The previous prime is 49253184207319. The next prime is 49253184207401. The reversal of 49253184207360 is 6370248135294.

49253184207360 is a `hidden beast` number, since 4 + 9 + 2 + 531 + 8 + 42 + 0 + 7 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (49253184207319) and next prime (49253184207401).

It is a super-2 number, since 2×49253184207360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49253184207297 and 49253184207306.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 843303919 + ... + 843362321.

It is a 2-persistent number, because it is pandigital, and so is 2⋅49253184207360 = 98506368414720, but 3⋅49253184207360 = 147759552622080 is not.

Almost surely, 2^{49253184207360} is an apocalyptic number.

49253184207360 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 49253184207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103843422376848).

49253184207360 is an abundant number, since it is smaller than the sum of its proper divisors (158433660546336).

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

49253184207360 is an equidigital number, since it uses as much as digits as its factorization.

49253184207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58535 (or 58503 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 49253184207360 in words is "forty-nine trillion, two hundred fifty-three billion, one hundred eighty-four million, two hundred seven thousand, three hundred sixty".