49735752192 has 800 divisors, whose sum is σ = 182525460480. Its totient is φ = 13168189440.

The previous prime is 49735752191. The next prime is 49735752223. The reversal of 49735752192 is 29125753794.

49735752192 is a `hidden beast` number, since 49 + 7 + 3 + 575 + 21 + 9 + 2 = 666.

It is a super-2 number, since 2×49735752192² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49735752191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 391620033 + ... + 391620159.

Almost surely, 2^49735752192 is an apocalyptic number.

49735752192 is a gapful number since it is divisible by the number (42) 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 49735752192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91262730240).

49735752192 is an abundant number, since it is smaller than the sum of its proper divisors (132789708288).

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

49735752192 is a wasteful number, since it uses less digits than its factorization.

49735752192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 49735752192 in words is "forty-nine billion, seven hundred thirty-five million, seven hundred fifty-two thousand, one hundred ninety-two".