48465082209600 has 3024 divisors, whose sum is σ = 219908253096000. Its totient is φ = 10350429143040.

The previous prime is 48465082209587. The next prime is 48465082209613. The reversal of 48465082209600 is 690228056484.

48465082209600 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 5 + 0 + 8 + 2 + 20 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48465082209587) and next prime (48465082209613).

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 138868430226 + ... + 138868430574.

Almost surely, 2^{48465082209600} is an apocalyptic number.

48465082209600 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 48465082209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109954126548000).

48465082209600 is an abundant number, since it is smaller than the sum of its proper divisors (171443170886400).

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

48465082209600 is a wasteful number, since it uses less digits than its factorization.

48465082209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48465082209600 in words is "forty-eight trillion, four hundred sixty-five billion, eighty-two million, two hundred nine thousand, six hundred".