506100940800 has 1536 divisors, whose sum is σ = 2155235389440. Its totient is φ = 101921587200.

The previous prime is 506100940771. The next prime is 506100940811. The reversal of 506100940800 is 8049001605.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×506100940800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 6932889564 + ... + 6932889636.

It is an arithmetic number, because the mean of its divisors is an integer number (1403148040).

Almost surely, 2^506100940800 is an apocalyptic number.

506100940800 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 506100940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077617694720).

506100940800 is an abundant number, since it is smaller than the sum of its proper divisors (1649134448640).

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

506100940800 is a wasteful number, since it uses less digits than its factorization.

506100940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 506100940800 in words is "five hundred six billion, one hundred million, nine hundred forty thousand, eight hundred".