5193904270464 has 2304 divisors, whose sum is σ = 20798363040000. Its totient is φ = 1279948013568.

The previous prime is 5193904270427. The next prime is 5193904270481. The reversal of 5193904270464 is 4640724093915.

5193904270464 is a `hidden beast` number, since 5 + 1 + 93 + 90 + 4 + 2 + 7 + 0 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5193904270464.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71149373532 + ... + 71149373604.

Almost surely, 2^{5193904270464} is an apocalyptic number.

5193904270464 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 5193904270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399181520000).

5193904270464 is an abundant number, since it is smaller than the sum of its proper divisors (15604458769536).

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

5193904270464 is an frugal number, since it uses more digits than its factorization.

5193904270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5193904270464 in words is "five trillion, one hundred ninety-three billion, nine hundred four million, two hundred seventy thousand, four hundred sixty-four".