48023525280 has 384 divisors, whose sum is σ = 161404379136. Its totient is φ = 11977011200.

The previous prime is 48023525279. The next prime is 48023525281. The reversal of 48023525280 is 8252532084.

It is an interprime number because it is at equal distance from previous prime (48023525279) and next prime (48023525281).

It is not an unprimeable number, because it can be changed into a prime (48023525281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154416325 + ... + 154416635.

It is an arithmetic number, because the mean of its divisors is an integer number (420323904).

Almost surely, 2^48023525280 is an apocalyptic number.

48023525280 is a gapful number since it is divisible by the number (40) 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 48023525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80702189568).

48023525280 is an abundant number, since it is smaller than the sum of its proper divisors (113380853856).

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

48023525280 is a wasteful number, since it uses less digits than its factorization.

48023525280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

It can be divided in two parts, 480235 and 25280, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 48023525280 in words is "forty-eight billion, twenty-three million, five hundred twenty-five thousand, two hundred eighty".