5007164958432 has 1152 divisors, whose sum is σ = 18973166284800. Its totient is φ = 1272054067200.

The previous prime is 5007164958431. The next prime is 5007164958479. The reversal of 5007164958432 is 2348594617005.

It is a happy number.

5007164958432 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 16 + 49 + 584 + 3 + 2 = 666.

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 (5007164958431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4589518207 + ... + 4589519297.

It is an arithmetic number, because the mean of its divisors is an integer number (16469762400).

It is a 1-persistent number, because it is pandigital, but 2⋅5007164958432 = 10014329916864 is not.

Almost surely, 2^{5007164958432} is an apocalyptic number.

5007164958432 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 5007164958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486583142400).

5007164958432 is an abundant number, since it is smaller than the sum of its proper divisors (13966001326368).

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

5007164958432 is a wasteful number, since it uses less digits than its factorization.

5007164958432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 50071 and 64958432, that added together give a triangular number (65008503 = T₁₁₄₀₂).

The spelling of 5007164958432 in words is "five trillion, seven billion, one hundred sixty-four million, nine hundred fifty-eight thousand, four hundred thirty-two".