49649777562420 has 720 divisors, whose sum is σ = 188148351992832. Its totient is φ = 10916585809920.

The previous prime is 49649777562401. The next prime is 49649777562433. The reversal of 49649777562420 is 2426577794694.

49649777562420 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 9 + 77 + 75 + 62 + 420 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410889852 + ... + 411010668.

Almost surely, 2^{49649777562420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49649777562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94074175996416).

49649777562420 is an abundant number, since it is smaller than the sum of its proper divisors (138498574430412).

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

49649777562420 is a wasteful number, since it uses less digits than its factorization.

49649777562420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121050 (or 121032 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 49649777562420 in words is "forty-nine trillion, six hundred forty-nine billion, seven hundred seventy-seven million, five hundred sixty-two thousand, four hundred twenty".