49785342552 has 384 divisors, whose sum is σ = 160672512000. Its totient is φ = 14250297600.

The previous prime is 49785342547. The next prime is 49785342559. The reversal of 49785342552 is 25524358794.

49785342552 is a `hidden beast` number, since 4 + 9 + 7 + 85 + 3 + 4 + 2 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49785342559) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34838574 + ... + 34840002.

It is an arithmetic number, because the mean of its divisors is an integer number (418418000).

Almost surely, 2^49785342552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49785342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80336256000).

49785342552 is an abundant number, since it is smaller than the sum of its proper divisors (110887169448).

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

49785342552 is a wasteful number, since it uses less digits than its factorization.

49785342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1519 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 49785342552 in words is "forty-nine billion, seven hundred eighty-five million, three hundred forty-two thousand, five hundred fifty-two".