5145562977984 has 672 divisors, whose sum is σ = 18020124105984. Its totient is φ = 1435228139520.

The previous prime is 5145562977979. The next prime is 5145562977991. The reversal of 5145562977984 is 4897792655415.

5145562977984 is a `hidden beast` number, since 5 + 1 + 455 + 6 + 2 + 97 + 7 + 9 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829525027 + ... + 829531229.

It is an arithmetic number, because the mean of its divisors is an integer number (26815660872).

Almost surely, 2^{5145562977984} is an apocalyptic number.

5145562977984 is a gapful number since it is divisible by the number (54) 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 5145562977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010062052992).

5145562977984 is an abundant number, since it is smaller than the sum of its proper divisors (12874561128000).

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

5145562977984 is a wasteful number, since it uses less digits than its factorization.

5145562977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6605 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 5145562977984 in words is "five trillion, one hundred forty-five billion, five hundred sixty-two million, nine hundred seventy-seven thousand, nine hundred eighty-four".