5901840868000 has 576 divisors, whose sum is σ = 18584668118016. Its totient is φ = 1821254400000.

The previous prime is 5901840867997. The next prime is 5901840868003. The reversal of 5901840868000 is 8680481095.

It is an interprime number because it is at equal distance from previous prime (5901840867997) and next prime (5901840868003).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (5901840868003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217742449 + ... + 217769551.

It is an arithmetic number, because the mean of its divisors is an integer number (32265048816).

Almost surely, 2^{5901840868000} is an apocalyptic number.

5901840868000 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 5901840868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292334059008).

5901840868000 is an abundant number, since it is smaller than the sum of its proper divisors (12682827250016).

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

5901840868000 is a wasteful number, since it uses less digits than its factorization.

5901840868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27254 (or 27229 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 5901840868000 in words is "five trillion, nine hundred one billion, eight hundred forty million, eight hundred sixty-eight thousand".