49970758602240 has 1280 divisors, whose sum is σ = 206807946301440. Its totient is φ = 11201182433280.

The previous prime is 49970758602199. The next prime is 49970758602251. The reversal of 49970758602240 is 4220685707994.

49970758602240 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 0 + 7 + 586 + 0 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6630055752 + ... + 6630063288.

It is an arithmetic number, because the mean of its divisors is an integer number (161568708048).

Almost surely, 2^{49970758602240} is an apocalyptic number.

49970758602240 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 49970758602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403973150720).

49970758602240 is an abundant number, since it is smaller than the sum of its proper divisors (156837187699200).

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

49970758602240 is a wasteful number, since it uses less digits than its factorization.

49970758602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 49970758602240 in words is "forty-nine trillion, nine hundred seventy billion, seven hundred fifty-eight million, six hundred two thousand, two hundred forty".