49971692160 has 576 divisors, whose sum is σ = 190955058840. Its totient is φ = 11970478080.

The previous prime is 49971692153. The next prime is 49971692167. The reversal of 49971692160 is 6129617994.

It is a happy number.

49971692160 is a `hidden beast` number, since 499 + 7 + 1 + 6 + 92 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (49971692153) and next prime (49971692167).

It can be written as a sum of positive squares in 12 ways, for example, as 5901926976 + 44069765184 = 76824^2 + 209928^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 49971692097 and 49971692106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49971692167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125873082 + ... + 125873478.

Almost surely, 2^49971692160 is an apocalyptic number.

49971692160 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 49971692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477529420).

49971692160 is an abundant number, since it is smaller than the sum of its proper divisors (140983366680).

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

49971692160 is a wasteful number, since it uses less digits than its factorization.

49971692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 49971692160 in words is "forty-nine billion, nine hundred seventy-one million, six hundred ninety-two thousand, one hundred sixty".