5187621542400 has 2880 divisors, whose sum is σ = 22305428361216. Its totient is φ = 1182449664000.

The previous prime is 5187621542377. The next prime is 5187621542417. The reversal of 5187621542400 is 42451267815.

5187621542400 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 6 + 215 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5187621542400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71063308764 + ... + 71063308836.

Almost surely, 2^{5187621542400} is an apocalyptic number.

5187621542400 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 5187621542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152714180608).

5187621542400 is an abundant number, since it is smaller than the sum of its proper divisors (17117806818816).

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

5187621542400 is a wasteful number, since it uses less digits than its factorization.

5187621542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5187621542400 in words is "five trillion, one hundred eighty-seven billion, six hundred twenty-one million, five hundred forty-two thousand, four hundred".