49837788000 has 1536 divisors, whose sum is σ = 244099215360. Its totient is φ = 9538560000.

The previous prime is 49837787983. The next prime is 49837788001. The reversal of 49837788000 is 88773894.

49837788000 is a `hidden beast` number, since 498 + 3 + 7 + 78 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×49837788000² (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 (49837788001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108107770 + ... + 108108230.

It is an arithmetic number, because the mean of its divisors is an integer number (158918760).

Almost surely, 2^49837788000 is an apocalyptic number.

49837788000 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 49837788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122049607680).

49837788000 is an abundant number, since it is smaller than the sum of its proper divisors (194261427360).

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

49837788000 is a wasteful number, since it uses less digits than its factorization.

49837788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 49837788000 in words is "forty-nine billion, eight hundred thirty-seven million, seven hundred eighty-eight thousand".