3153496965120 has 816 divisors, whose sum is σ = 11610667635840. Its totient is φ = 789552562176.

The previous prime is 3153496965107. The next prime is 3153496965209. The reversal of 3153496965120 is 215696943513.

3153496965120 is a `hidden beast` number, since 3 + 1 + 5 + 34 + 9 + 6 + 96 + 512 + 0 = 666.

It is a super-3 number, since 3×3153496965120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9357557592 + ... + 9357557928.

Almost surely, 2^{3153496965120} is an apocalyptic number.

3153496965120 is a gapful number since it is divisible by the number (30) 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 3153496965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805333817920).

3153496965120 is an abundant number, since it is smaller than the sum of its proper divisors (8457170670720).

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

3153496965120 is a wasteful number, since it uses less digits than its factorization.

3153496965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3153496965120 in words is "three trillion, one hundred fifty-three billion, four hundred ninety-six million, nine hundred sixty-five thousand, one hundred twenty".