537123578400 has 216 divisors, whose sum is σ = 1898437492224. Its totient is φ = 142899801600.

The previous prime is 537123578393. The next prime is 537123578401. The reversal of 537123578400 is 4875321735.

537123578400 is a `hidden beast` number, since 5 + 3 + 7 + 1 + 235 + 7 + 8 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (537123578401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3016657 + ... + 3189743.

It is an arithmetic number, because the mean of its divisors is an integer number (8789062464).

Almost surely, 2^537123578400 is an apocalyptic number.

537123578400 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 537123578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949218746112).

537123578400 is an abundant number, since it is smaller than the sum of its proper divisors (1361313913824).

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

537123578400 is a wasteful number, since it uses less digits than its factorization.

537123578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173544 (or 173528 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 537123578400 in words is "five hundred thirty-seven billion, one hundred twenty-three million, five hundred seventy-eight thousand, four hundred".