49578094661760 has 576 divisors, whose sum is σ = 207809008505280. Its totient is φ = 10839432941568.

The previous prime is 49578094661759. The next prime is 49578094661761. The reversal of 49578094661760 is 6716649087594.

It is a happy number.

49578094661760 is a `hidden beast` number, since 4 + 9 + 578 + 0 + 9 + 46 + 6 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49578094661759) and next prime (49578094661761).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (49578094661761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2672839 + ... + 10310201.

It is an arithmetic number, because the mean of its divisors is an integer number (360779528655).

Almost surely, 2^{49578094661760} is an apocalyptic number.

49578094661760 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 49578094661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103904504252640).

49578094661760 is an abundant number, since it is smaller than the sum of its proper divisors (158230913843520).

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

49578094661760 is a wasteful number, since it uses less digits than its factorization.

49578094661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637425 (or 7637403 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 49578094661760 in words is "forty-nine trillion, five hundred seventy-eight billion, ninety-four million, six hundred sixty-one thousand, seven hundred sixty".