48535179264 has 936 divisors, whose sum is σ = 177651126016. Its totient is φ = 13138329600.

The previous prime is 48535179239. The next prime is 48535179269. The reversal of 48535179264 is 46297153584.

It is a happy number.

48535179264 is a `hidden beast` number, since 4 + 8 + 535 + 17 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

Its product of digits (7257600) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 48535179264.

It is not an unprimeable number, because it can be changed into a prime (48535179269) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1565650929 + ... + 1565650959.

Almost surely, 2^48535179264 is an apocalyptic number.

48535179264 is a gapful number since it is divisible by the number (44) 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 48535179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88825563008).

48535179264 is an abundant number, since it is smaller than the sum of its proper divisors (129115946752).

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

48535179264 is a wasteful number, since it uses less digits than its factorization.

48535179264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 48535179264 in words is "forty-eight billion, five hundred thirty-five million, one hundred seventy-nine thousand, two hundred sixty-four".