49953024000000 has 2520 divisors, whose sum is σ = 206859519039264. Its totient is φ = 11943936000000.

The previous prime is 49953023999971. The next prime is 49953024000049. The reversal of 49953024000000 is 42035994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 684287999964 + ... + 684288000036.

Almost surely, 2^{49953024000000} is an apocalyptic number.

49953024000000 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 49953024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103429759519632).

49953024000000 is an abundant number, since it is smaller than the sum of its proper divisors (156906495039264).

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

49953024000000 is an frugal number, since it uses more digits than its factorization.

49953024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 49953024000000 its reverse (42035994), we get a palindrome (49953066035994).

The spelling of 49953024000000 in words is "forty-nine trillion, nine hundred fifty-three billion, twenty-four million", and thus it is an aban number.