10049135616 has 352 divisors, whose sum is σ = 32573829120. Its totient is φ = 3041722368.

The previous prime is 10049135611. The next prime is 10049135623. The reversal of 10049135616 is 61653194001.

10049135616 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 1 + 35 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10049135611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26237761 + ... + 26238143.

Almost surely, 2^10049135616 is an apocalyptic number.

10049135616 is a gapful number since it is divisible by the number (16) 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 10049135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286914560).

10049135616 is an abundant number, since it is smaller than the sum of its proper divisors (22524693504).

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

10049135616 is a wasteful number, since it uses less digits than its factorization.

10049135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10049135616 in words is "ten billion, forty-nine million, one hundred thirty-five thousand, six hundred sixteen".