49517788320 has 1440 divisors, whose sum is σ = 237097010304. Its totient is φ = 9470545920.

The previous prime is 49517788211. The next prime is 49517788357. The reversal of 49517788320 is 2388771594.

It is a happy number.

49517788320 is a `hidden beast` number, since 49 + 517 + 7 + 8 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×49517788320² (a number of 22 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 142702387 + ... + 142702733.

Almost surely, 2^49517788320 is an apocalyptic number.

49517788320 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 49517788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118548505152).

49517788320 is an abundant number, since it is smaller than the sum of its proper divisors (187579221984).

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

49517788320 is a wasteful number, since it uses less digits than its factorization.

49517788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 49517788320 in words is "forty-nine billion, five hundred seventeen million, seven hundred eighty-eight thousand, three hundred twenty".