49585497984 has 288 divisors, whose sum is σ = 158129637120. Its totient is φ = 14902272000.

The previous prime is 49585497961. The next prime is 49585498009. The reversal of 49585497984 is 48979458594.

49585497984 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 549 + 79 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49585497984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17701384 + ... + 17704184.

It is an arithmetic number, because the mean of its divisors is an integer number (549061240).

Almost surely, 2^49585497984 is an apocalyptic number.

49585497984 is a gapful number since it is divisible by the number (44) 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 49585497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79064818560).

49585497984 is an abundant number, since it is smaller than the sum of its proper divisors (108544139136).

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

49585497984 is a wasteful number, since it uses less digits than its factorization.

49585497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2944 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 49585497984 in words is "forty-nine billion, five hundred eighty-five million, four hundred ninety-seven thousand, nine hundred eighty-four".