5145648379200 has 420 divisors, whose sum is σ = 21616128484192. Its totient is φ = 1176147993600.

The previous prime is 5145648379189. The next prime is 5145648379241. The reversal of 5145648379200 is 29738465415.

It is a happy number.

5145648379200 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 64 + 8 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 1928806 + ... + 3743205.

It is a 1-persistent number, because it is pandigital, but 2⋅5145648379200 = 10291296758400 is not.

Almost surely, 2^{5145648379200} is an apocalyptic number.

5145648379200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5145648379200 is an abundant number, since it is smaller than the sum of its proper divisors (16470480104992).

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

5145648379200 is a wasteful number, since it uses less digits than its factorization.

5145648379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672052 (or 5672028 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5145648379200 in words is "five trillion, one hundred forty-five billion, six hundred forty-eight million, three hundred seventy-nine thousand, two hundred".