508373978112 has 1584 divisors, whose sum is σ = 2068229060352. Its totient is φ = 121111511040.

The previous prime is 508373978107. The next prime is 508373978149. The reversal of 508373978112 is 211879373805.

It is a happy number.

508373978112 is a `hidden beast` number, since 508 + 37 + 3 + 97 + 8 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3238050738 + ... + 3238050894.

Almost surely, 2^508373978112 is an apocalyptic number.

508373978112 is a gapful number since it is divisible by the number (52) 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 508373978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034114530176).

508373978112 is an abundant number, since it is smaller than the sum of its proper divisors (1559855082240).

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

508373978112 is a wasteful number, since it uses less digits than its factorization.

508373978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 508373978112 in words is "five hundred eight billion, three hundred seventy-three million, nine hundred seventy-eight thousand, one hundred twelve".