49752040216320 has 3456 divisors, whose sum is σ = 211671004446720. Its totient is φ = 11076328488960.

The previous prime is 49752040216313. The next prime is 49752040216367. The reversal of 49752040216320 is 2361204025794.

49752040216320 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 2 + 0 + 4 + 0 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 357928346811 + ... + 357928346949.

It is an arithmetic number, because the mean of its divisors is an integer number (61247397120).

Almost surely, 2^{49752040216320} is an apocalyptic number.

49752040216320 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 49752040216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105835502223360).

49752040216320 is an abundant number, since it is smaller than the sum of its proper divisors (161918964230400).

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

49752040216320 is a wasteful number, since it uses less digits than its factorization.

49752040216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 49752040216320 in words is "forty-nine trillion, seven hundred fifty-two billion, forty million, two hundred sixteen thousand, three hundred twenty".