48325015065600 has 2112 divisors, whose sum is σ = 219727974842880. Its totient is φ = 10134827827200.

The previous prime is 48325015065553. The next prime is 48325015065619. The reversal of 48325015065600 is 656051052384.

48325015065600 is a `hidden beast` number, since 4 + 8 + 3 + 25 + 0 + 15 + 0 + 6 + 5 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10881559380 + ... + 10881563820.

Almost surely, 2^{48325015065600} is an apocalyptic number.

48325015065600 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 48325015065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109863987421440).

48325015065600 is an abundant number, since it is smaller than the sum of its proper divisors (171402959777280).

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

48325015065600 is a wasteful number, since it uses less digits than its factorization.

48325015065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 48325015065600 in words is "forty-eight trillion, three hundred twenty-five billion, fifteen million, sixty-five thousand, six hundred".