4899011335680 has 1280 divisors, whose sum is σ = 19922276892672. Its totient is φ = 997539840000.

The previous prime is 4899011335667. The next prime is 4899011335693. The reversal of 4899011335680 is 865331109984.

It is an interprime number because it is at equal distance from previous prime (4899011335667) and next prime (4899011335693).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×4899011335680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4899011335680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7411514550 + ... + 7411515210.

Almost surely, 2^{4899011335680} is an apocalyptic number.

4899011335680 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 4899011335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9961138446336).

4899011335680 is an abundant number, since it is smaller than the sum of its proper divisors (15023265556992).

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

4899011335680 is a wasteful number, since it uses less digits than its factorization.

4899011335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 4899011335680 in words is "four trillion, eight hundred ninety-nine billion, eleven million, three hundred thirty-five thousand, six hundred eighty".