534526503840 has 1440 divisors, whose sum is σ = 2361376100160. Its totient is φ = 113121017856.

The previous prime is 534526503827. The next prime is 534526503869. The reversal of 534526503840 is 48305625435.

534526503840 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 265 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 723310191 + ... + 723310929.

It is an arithmetic number, because the mean of its divisors is an integer number (1639844514).

Almost surely, 2^534526503840 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 534526503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180688050080).

534526503840 is an abundant number, since it is smaller than the sum of its proper divisors (1826849596320).

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

534526503840 is a wasteful number, since it uses less digits than its factorization.

534526503840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 534526503840 in words is "five hundred thirty-four billion, five hundred twenty-six million, five hundred three thousand, eight hundred forty".