534131522400 has 288 divisors, whose sum is σ = 1992992940288. Its totient is φ = 121717094400.

The previous prime is 534131522377. The next prime is 534131522443. The reversal of 534131522400 is 4225131435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5512774 + ... + 5608826.

It is an arithmetic number, because the mean of its divisors is an integer number (6920114376).

Almost surely, 2^534131522400 is an apocalyptic number.

534131522400 is a gapful number since it is divisible by the number (50) 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 534131522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996496470144).

534131522400 is an abundant number, since it is smaller than the sum of its proper divisors (1458861417888).

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

534131522400 is a wasteful number, since it uses less digits than its factorization.

534131522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96414 (or 96401 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 534131522400 its reverse (4225131435), we get a palindrome (538356653835).

The spelling of 534131522400 in words is "five hundred thirty-four billion, one hundred thirty-one million, five hundred twenty-two thousand, four hundred".