537563510400 has 768 divisors, whose sum is σ = 2114664652800. Its totient is φ = 117437644800.

The previous prime is 537563510389. The next prime is 537563510411. The reversal of 537563510400 is 4015365735.

It is an interprime number because it is at equal distance from previous prime (537563510389) and next prime (537563510411).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172904046 + ... + 172907154.

It is an arithmetic number, because the mean of its divisors is an integer number (2753469600).

Almost surely, 2^537563510400 is an apocalyptic number.

537563510400 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 537563510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057332326400).

537563510400 is an abundant number, since it is smaller than the sum of its proper divisors (1577101142400).

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

537563510400 is a wasteful number, since it uses less digits than its factorization.

537563510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 537563510400 in words is "five hundred thirty-seven billion, five hundred sixty-three million, five hundred ten thousand, four hundred".