49216215121920 has 4896 divisors, whose sum is σ = 242793487722240. Its totient is φ = 8969099673600.

The previous prime is 49216215121919. The next prime is 49216215121961. The reversal of 49216215121920 is 2912151261294.

49216215121920 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 621 + 5 + 1 + 2 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 806823198690 + ... + 806823198750.

Almost surely, 2^{49216215121920} is an apocalyptic number.

49216215121920 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 49216215121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121396743861120).

49216215121920 is an abundant number, since it is smaller than the sum of its proper divisors (193577272600320).

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

49216215121920 is a wasteful number, since it uses less digits than its factorization.

49216215121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 49216215121920 in words is "forty-nine trillion, two hundred sixteen billion, two hundred fifteen million, one hundred twenty-one thousand, nine hundred twenty".