365172487920 has 320 divisors, whose sum is σ = 1302984460800. Its totient is φ = 95112734976.

The previous prime is 365172487871. The next prime is 365172487921. The reversal of 365172487920 is 29784271563.

It is a happy number.

365172487920 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 72 + 487 + 92 + 0 = 666.

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 (365172487921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499011 + ... + 7547549.

It is an arithmetic number, because the mean of its divisors is an integer number (4071826440).

It is a 1-persistent number, because it is pandigital, but 2⋅365172487920 = 730344975840 is not.

Almost surely, 2^365172487920 is an apocalyptic number.

365172487920 is a gapful number since it is divisible by the number (30) 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 365172487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651492230400).

365172487920 is an abundant number, since it is smaller than the sum of its proper divisors (937811972880).

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

365172487920 is an equidigital number, since it uses as much as digits as its factorization.

365172487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48616 (or 48592 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 365172487920 in words is "three hundred sixty-five billion, one hundred seventy-two million, four hundred eighty-seven thousand, nine hundred twenty".