152390048025600 has 2376 divisors, whose sum is σ = 706452123955968. Its totient is φ = 31662777139200.

The previous prime is 152390048025599. The next prime is 152390048025601. The reversal of 152390048025600 is 6520840093251.

152390048025600 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 9 + 0 + 0 + 4 + 80 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152390048025599) and next prime (152390048025601).

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is not an unprimeable number, because it can be changed into a prime (152390048025601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12933037309 + ... + 12933049091.

Almost surely, 2^{152390048025600} is an apocalyptic number.

152390048025600 is a gapful number since it is divisible by the number (10) 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 152390048025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353226061977984).

152390048025600 is an abundant number, since it is smaller than the sum of its proper divisors (554062075930368).

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

152390048025600 is an equidigital number, since it uses as much as digits as its factorization.

152390048025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 152390048025600 in words is "one hundred fifty-two trillion, three hundred ninety billion, forty-eight million, twenty-five thousand, six hundred".