5587074662400 has 2160 divisors, whose sum is σ = 25911577386240. Its totient is φ = 1160950579200.

The previous prime is 5587074662383. The next prime is 5587074662413. The reversal of 5587074662400 is 42664707855.

It is a happy number.

5587074662400 is a `hidden beast` number, since 5 + 5 + 8 + 7 + 0 + 7 + 4 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×5587074662400³ (a number of 39 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507915878395 + ... + 507915878405.

Almost surely, 2^{5587074662400} is an apocalyptic number.

5587074662400 is a gapful number since it is divisible by the number (50) 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 5587074662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955788693120).

5587074662400 is an abundant number, since it is smaller than the sum of its proper divisors (20324502723840).

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

5587074662400 is an frugal number, since it uses more digits than its factorization.

5587074662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5587074662400 in words is "five trillion, five hundred eighty-seven billion, seventy-four million, six hundred sixty-two thousand, four hundred".