5905470378240 has 1152 divisors, whose sum is σ = 22229055313920. Its totient is φ = 1482704289792.

The previous prime is 5905470378179. The next prime is 5905470378271. The reversal of 5905470378240 is 428730745095.

It is a happy number.

5905470378240 is a `hidden beast` number, since 5 + 9 + 0 + 547 + 0 + 3 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5829683974 + ... + 5829684986.

It is an arithmetic number, because the mean of its divisors is an integer number (19296054960).

Almost surely, 2^{5905470378240} 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 5905470378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114527656960).

5905470378240 is an abundant number, since it is smaller than the sum of its proper divisors (16323584935680).

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

5905470378240 is a wasteful number, since it uses less digits than its factorization.

5905470378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5905470378240 in words is "five trillion, nine hundred five billion, four hundred seventy million, three hundred seventy-eight thousand, two hundred forty".