49619972203200 has 1008 divisors, whose sum is σ = 204600838041600. Its totient is φ = 11171176611840.

The previous prime is 49619972203169. The next prime is 49619972203301. The reversal of 49619972203200 is 230227991694.

49619972203200 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 9 + 97 + 220 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2819468001 + ... + 2819485599.

Almost surely, 2^{49619972203200} is an apocalyptic number.

49619972203200 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 49619972203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102300419020800).

49619972203200 is an abundant number, since it is smaller than the sum of its proper divisors (154980865838400).

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

49619972203200 is a wasteful number, since it uses less digits than its factorization.

49619972203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18054 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 49619972203200 in words is "forty-nine trillion, six hundred nineteen billion, nine hundred seventy-two million, two hundred three thousand, two hundred".