49948790320800 has 432 divisors, whose sum is σ = 201306719420352. Its totient is φ = 11416123699200.

The previous prime is 49948790320799. The next prime is 49948790320831. The reversal of 49948790320800 is 802309784994.

49948790320800 is a `hidden beast` number, since 49 + 9 + 487 + 9 + 0 + 32 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×49948790320800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1275453220 + ... + 1275492380.

It is an arithmetic number, because the mean of its divisors is an integer number (465987776436).

Almost surely, 2^{49948790320800} is an apocalyptic number.

49948790320800 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 49948790320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100653359710176).

49948790320800 is an abundant number, since it is smaller than the sum of its proper divisors (151357929099552).

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

49948790320800 is a wasteful number, since it uses less digits than its factorization.

49948790320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64501 (or 64485 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 49948790320800 in words is "forty-nine trillion, nine hundred forty-eight billion, seven hundred ninety million, three hundred twenty thousand, eight hundred".