5357527346304 has 512 divisors, whose sum is σ = 18742922035200. Its totient is φ = 1474279833600.

The previous prime is 5357527346267. The next prime is 5357527346341. The reversal of 5357527346304 is 4036437257535.

5357527346304 is a `hidden beast` number, since 5 + 3 + 57 + 527 + 3 + 4 + 63 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5357527346267) and next prime (5357527346341).

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 63 ways as a sum of consecutive naturals, for example, 158222944 + ... + 158256800.

It is an arithmetic number, because the mean of its divisors is an integer number (36607269600).

Almost surely, 2^{5357527346304} is an apocalyptic number.

5357527346304 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 5357527346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371461017600).

5357527346304 is an abundant number, since it is smaller than the sum of its proper divisors (13385394688896).

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

5357527346304 is a wasteful number, since it uses less digits than its factorization.

5357527346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34129 (or 34111 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 54.

The spelling of 5357527346304 in words is "five trillion, three hundred fifty-seven billion, five hundred twenty-seven million, three hundred forty-six thousand, three hundred four".