5961033635904 has 336 divisors, whose sum is σ = 18710659454400. Its totient is φ = 1855867023360.

The previous prime is 5961033635903. The next prime is 5961033635917. The reversal of 5961033635904 is 4095363301695.

5961033635904 is a `hidden beast` number, since 5 + 9 + 6 + 10 + 3 + 36 + 3 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5961033635903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165488104 + ... + 165524120.

Almost surely, 2^{5961033635904} is an apocalyptic number.

5961033635904 is a gapful number since it is divisible by the number (54) 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 5961033635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355329727200).

5961033635904 is an abundant number, since it is smaller than the sum of its proper divisors (12749625818496).

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

5961033635904 is a wasteful number, since it uses less digits than its factorization.

5961033635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36199 (or 36112 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 5961033635904 in words is "five trillion, nine hundred sixty-one billion, thirty-three million, six hundred thirty-five thousand, nine hundred four".