48906569600 has 192 divisors, whose sum is σ = 140138828160. Its totient is φ = 16517191680.

The previous prime is 48906569567. The next prime is 48906569603. The reversal of 48906569600 is 696560984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48906569603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484507 + ... + 1517093.

It is an arithmetic number, because the mean of its divisors is an integer number (729889730).

Almost surely, 2^48906569600 is an apocalyptic number.

48906569600 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 48906569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70069414080).

48906569600 is an abundant number, since it is smaller than the sum of its proper divisors (91232258560).

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

48906569600 is a wasteful number, since it uses less digits than its factorization.

48906569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32685 (or 32668 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 48906569600 in words is "forty-eight billion, nine hundred six million, five hundred sixty-nine thousand, six hundred".