49976710590240 has 1728 divisors, whose sum is σ = 216694474214400. Its totient is φ = 10636846884864.

The previous prime is 49976710590193. The next prime is 49976710590271. The reversal of 49976710590240 is 4209501767994.

49976710590240 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 6 + 7 + 10 + 590 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8237463687 + ... + 8237469753.

It is an arithmetic number, because the mean of its divisors is an integer number (125401894800).

Almost surely, 2^{49976710590240} is an apocalyptic number.

49976710590240 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 49976710590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108347237107200).

49976710590240 is an abundant number, since it is smaller than the sum of its proper divisors (166717763624160).

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

49976710590240 is an equidigital number, since it uses as much as digits as its factorization.

49976710590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 49976710590240 in words is "forty-nine trillion, nine hundred seventy-six billion, seven hundred ten million, five hundred ninety thousand, two hundred forty".