48275136000 has 1280 divisors, whose sum is σ = 220205905920. Its totient is φ = 10152345600.

The previous prime is 48275135957. The next prime is 48275136061. The reversal of 48275136000 is 63157284.

48275136000 is a `hidden beast` number, since 4 + 82 + 7 + 513 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157247847 + ... + 157248153.

It is an arithmetic number, because the mean of its divisors is an integer number (172035864).

Almost surely, 2^48275136000 is an apocalyptic number.

48275136000 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 48275136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110102952960).

48275136000 is an abundant number, since it is smaller than the sum of its proper divisors (171930769920).

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

48275136000 is a wasteful number, since it uses less digits than its factorization.

48275136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 48275136000 in words is "forty-eight billion, two hundred seventy-five million, one hundred thirty-six thousand".