5146487577600 has 528 divisors, whose sum is σ = 17361743821920. Its totient is φ = 1344064716800.

The previous prime is 5146487577589. The next prime is 5146487577601. The reversal of 5146487577600 is 67757846415.

It is a super-2 number, since 2×5146487577600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146487577601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3781400920 + ... + 3781402280.

Almost surely, 2^{5146487577600} is an apocalyptic number.

5146487577600 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 5146487577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680871910960).

5146487577600 is an abundant number, since it is smaller than the sum of its proper divisors (12215256244320).

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

5146487577600 is a wasteful number, since it uses less digits than its factorization.

5146487577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 5146487577600 in words is "five trillion, one hundred forty-six billion, four hundred eighty-seven million, five hundred seventy-seven thousand, six hundred".