5250723379200 has 432 divisors, whose sum is σ = 20251201730760. Its totient is φ = 1292484280320.

The previous prime is 5250723379199. The next prime is 5250723379217. The reversal of 5250723379200 is 29733270525.

5250723379200 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 72 + 3 + 379 + 200 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5552139 + ... + 6428661.

Almost surely, 2^{5250723379200} is an apocalyptic number.

5250723379200 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 5250723379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125600865380).

5250723379200 is an abundant number, since it is smaller than the sum of its proper divisors (15000478351560).

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

5250723379200 is a wasteful number, since it uses less digits than its factorization.

5250723379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876574 (or 876546 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 5250723379200 in words is "five trillion, two hundred fifty billion, seven hundred twenty-three million, three hundred seventy-nine thousand, two hundred".