5180145638976 has 1120 divisors, whose sum is σ = 19815788298240. Its totient is φ = 1299052339200.

The previous prime is 5180145638957. The next prime is 5180145638977. The reversal of 5180145638976 is 6798365410815.

5180145638976 is a `hidden beast` number, since 5 + 1 + 80 + 1 + 456 + 38 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5180145638977) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1527614241 + ... + 1527617631.

Almost surely, 2^{5180145638976} is an apocalyptic number.

5180145638976 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 5180145638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907894149120).

5180145638976 is an abundant number, since it is smaller than the sum of its proper divisors (14635642659264).

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

5180145638976 is a wasteful number, since it uses less digits than its factorization.

5180145638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5180145638976 in words is "five trillion, one hundred eighty billion, one hundred forty-five million, six hundred thirty-eight thousand, nine hundred seventy-six".