5987417486400 has 945 divisors, whose sum is σ = 25627815913557. Its totient is φ = 1367143142400.

The previous prime is 5987417486377. The next prime is 5987417486419. The reversal of 5987417486400 is 46847147895.

The square root of 5987417486400 is 2446920.

It is a perfect power (a square), and thus also a powerful number.

5987417486400 is a `hidden beast` number, since 5 + 9 + 87 + 4 + 1 + 74 + 86 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2155470295104 + 3831947191296 = 1468152^2 + 1957536^2 .

It is a tau number, because it is divible by the number of its divisors (945).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6166237915 + ... + 6166238885.

Almost surely, 2^{5987417486400} is an apocalyptic number.

5987417486400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5987417486400 is the 2446920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5987417486400

5987417486400 is an abundant number, since it is smaller than the sum of its proper divisors (19640398427157).

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

5987417486400 is an frugal number, since it uses more digits than its factorization.

5987417486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 5987417486400 in words is "five trillion, nine hundred eighty-seven billion, four hundred seventeen million, four hundred eighty-six thousand, four hundred".