49967513280 has 560 divisors, whose sum is σ = 188320740960. Its totient is φ = 12541132800.

The previous prime is 49967513263. The next prime is 49967513293. The reversal of 49967513280 is 8231576994.

49967513280 is a `hidden beast` number, since 49 + 9 + 6 + 7 + 513 + 2 + 80 = 666.

49967513280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118687470 + ... + 118687890.

It is a 1-persistent number, because it is pandigital, but 2⋅49967513280 = 99935026560 is not.

Almost surely, 2^49967513280 is an apocalyptic number.

49967513280 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 49967513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94160370480).

49967513280 is an abundant number, since it is smaller than the sum of its proper divisors (138353227680).

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

49967513280 is a wasteful number, since it uses less digits than its factorization.

49967513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49967513280 in words is "forty-nine billion, nine hundred sixty-seven million, five hundred thirteen thousand, two hundred eighty".