76103161085952 has 3888 divisors, whose sum is σ = 324073977566976. Its totient is φ = 17657914982400.

The previous prime is 76103161085951. The next prime is 76103161085969. The reversal of 76103161085952 is 25958016130167.

76103161085952 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 31 + 6 + 10 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×76103161085952² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76103161085951) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2454940680177 + ... + 2454940680207.

Almost surely, 2^{76103161085952} is an apocalyptic number.

76103161085952 is a gapful number since it is divisible by the number (72) 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 76103161085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162036988783488).

76103161085952 is an abundant number, since it is smaller than the sum of its proper divisors (247970816481024).

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

76103161085952 is an equidigital number, since it uses as much as digits as its factorization.

76103161085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 76103161085952 in words is "seventy-six trillion, one hundred three billion, one hundred sixty-one million, eighty-five thousand, nine hundred fifty-two".