5149106001600 has 1344 divisors, whose sum is σ = 19636571750400. Its totient is φ = 1169602560000.

The previous prime is 5149106001587. The next prime is 5149106001607. The reversal of 5149106001600 is 61006019415.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5149106001607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10486977355 + ... + 10486977845.

Almost surely, 2^{5149106001600} is an apocalyptic number.

5149106001600 is a gapful number since it is divisible by the number (50) 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 5149106001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9818285875200).

5149106001600 is an abundant number, since it is smaller than the sum of its proper divisors (14487465748800).

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

5149106001600 is a wasteful number, since it uses less digits than its factorization.

5149106001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 5149106001600 in words is "five trillion, one hundred forty-nine billion, one hundred six million, one thousand, six hundred".