5901154560 has 720 divisors, whose sum is σ = 24787800576. Its totient is φ = 1312505856.

The previous prime is 5901154547. The next prime is 5901154601. The reversal of 5901154560 is 654511095.

5901154560 is a `hidden beast` number, since 5 + 90 + 1 + 1 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 34110634 + ... + 34110806.

Almost surely, 2^5901154560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5901154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393900288).

5901154560 is an abundant number, since it is smaller than the sum of its proper divisors (18886646016).

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

5901154560 is a wasteful number, since it uses less digits than its factorization.

5901154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5901154560 is about 76818.9726564994. The cubic root of 5901154560 is about 1807.0867290900.

It can be divided in two parts, 5901 and 154560, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 5901154560 in words is "five billion, nine hundred one million, one hundred fifty-four thousand, five hundred sixty".