49578946560 has 1560 divisors, whose sum is σ = 221453841840. Its totient is φ = 10510663680.

The previous prime is 49578946531. The next prime is 49578946603. The reversal of 49578946560 is 6564987594.

49578946560 is a `hidden beast` number, since 4 + 9 + 578 + 9 + 4 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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, 2609418231 + ... + 2609418249.

Almost surely, 2^49578946560 is an apocalyptic number.

49578946560 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 49578946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110726920920).

49578946560 is an abundant number, since it is smaller than the sum of its proper divisors (171874895280).

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

49578946560 is a wasteful number, since it uses less digits than its factorization.

49578946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 49578946560 in words is "forty-nine billion, five hundred seventy-eight million, nine hundred forty-six thousand, five hundred sixty".