49785510297600 has 4320 divisors, whose sum is σ = 242795108556000. Its totient is φ = 9988315545600.

The previous prime is 49785510297587. The next prime is 49785510297637. The reversal of 49785510297600 is 679201558794.

49785510297600 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 5 + 5 + 10 + 2 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 215 ways as a sum of consecutive naturals, for example, 1716741734386 + ... + 1716741734414.

It is an arithmetic number, because the mean of its divisors is an integer number (56202571425).

Almost surely, 2^{49785510297600} is an apocalyptic number.

49785510297600 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 49785510297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121397554278000).

49785510297600 is an abundant number, since it is smaller than the sum of its proper divisors (193009598258400).

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

49785510297600 is an frugal number, since it uses more digits than its factorization.

49785510297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 49785510297600 in words is "forty-nine trillion, seven hundred eighty-five billion, five hundred ten million, two hundred ninety-seven thousand, six hundred".