49787136000 has 1200 divisors, whose sum is σ = 216509513220. Its totient is φ = 11379916800.

The previous prime is 49787135989. The next prime is 49787136023. The reversal of 49787136000 is 63178794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33656103936 + 16131032064 = 183456^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×49787136000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7112447997 + ... + 7112448003.

Almost surely, 2^49787136000 is an apocalyptic number.

49787136000 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 49787136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108254756610).

49787136000 is an abundant number, since it is smaller than the sum of its proper divisors (166722377220).

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

49787136000 is an frugal number, since it uses more digits than its factorization.

49787136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 49787136000 in words is "forty-nine billion, seven hundred eighty-seven million, one hundred thirty-six thousand".