5029764360192 has 2304 divisors, whose sum is σ = 19464534835200. Its totient is φ = 1263403008000.

The previous prime is 5029764360191. The next prime is 5029764360227. The reversal of 5029764360192 is 2910634679205.

5029764360192 is a `hidden beast` number, since 5 + 0 + 2 + 97 + 6 + 4 + 360 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×5029764360192² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029764360191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70841751517 + ... + 70841751587.

It is an arithmetic number, because the mean of its divisors is an integer number (8448148800).

Almost surely, 2^{5029764360192} is an apocalyptic number.

5029764360192 is a gapful number since it is divisible by the number (52) 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 5029764360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732267417600).

5029764360192 is an abundant number, since it is smaller than the sum of its proper divisors (14434770475008).

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

5029764360192 is a wasteful number, since it uses less digits than its factorization.

5029764360192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 5029764360192 in words is "five trillion, twenty-nine billion, seven hundred sixty-four million, three hundred sixty thousand, one hundred ninety-two".