5214193920 has 432 divisors, whose sum is σ = 19974597552. Its totient is φ = 1247477760.

The previous prime is 5214193861. The next prime is 5214193949. The reversal of 5214193920 is 293914125.

5214193920 is a `hidden beast` number, since 521 + 41 + 9 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 5211684864 = 1584^2 + 72192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5540650 + ... + 5541590.

Almost surely, 2^5214193920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5214193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987298776).

5214193920 is an abundant number, since it is smaller than the sum of its proper divisors (14760403632).

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

5214193920 is a wasteful number, since it uses less digits than its factorization.

5214193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5214193920 is about 72209.3755685507. The cubic root of 5214193920 is about 1734.0531027826.

The spelling of 5214193920 in words is "five billion, two hundred fourteen million, one hundred ninety-three thousand, nine hundred twenty".