508955142237696 has 3840 divisors, whose sum is σ = 2107670706155520. Its totient is φ = 119400997847040.

The previous prime is 508955142237617. The next prime is 508955142237701. The reversal of 508955142237696 is 696732241559805.

508955142237696 is a `hidden beast` number, since 5 + 0 + 8 + 9 + 551 + 4 + 2 + 2 + 3 + 7 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 315533255386 + ... + 315533256998.

It is an arithmetic number, because the mean of its divisors is an integer number (548872579728).

It is a 1-persistent number, because it is pandigital, but 2⋅508955142237696 = 1017910284475392 is not.

Almost surely, 2^{508955142237696} is an apocalyptic number.

508955142237696 is a gapful number since it is divisible by the number (56) 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 508955142237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053835353077760).

508955142237696 is an abundant number, since it is smaller than the sum of its proper divisors (1598715563917824).

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

508955142237696 is a wasteful number, since it uses less digits than its factorization.

508955142237696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 508955142237696 in words is "five hundred eight trillion, nine hundred fifty-five billion, one hundred forty-two million, two hundred thirty-seven thousand, six hundred ninety-six".