49719487489920 has 384 divisors, whose sum is σ = 176385949215840. Its totient is φ = 12895938035712.

The previous prime is 49719487489897. The next prime is 49719487489937. The reversal of 49719487489920 is 2998478491794.

49719487489920 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 9 + 48 + 7 + 489 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49719487489920² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49719487489920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674061682 + ... + 674135438.

Almost surely, 2^{49719487489920} is an apocalyptic number.

49719487489920 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 49719487489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88192974607920).

49719487489920 is an abundant number, since it is smaller than the sum of its proper divisors (126666461725920).

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

49719487489920 is a wasteful number, since it uses less digits than its factorization.

49719487489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76982 (or 76967 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 49719487489920 in words is "forty-nine trillion, seven hundred nineteen billion, four hundred eighty-seven million, four hundred eighty-nine thousand, nine hundred twenty".