48006476563500 has 1728 divisors, whose sum is σ = 196830466560000. Its totient is φ = 10068054796800.

The previous prime is 48006476563469. The next prime is 48006476563621. The reversal of 48006476563500 is 536567460084.

48006476563500 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 6 + 4 + 76 + 5 + 63 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20011035301 + ... + 20011037699.

It is an arithmetic number, because the mean of its divisors is an integer number (113906520000).

Almost surely, 2^{48006476563500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48006476563500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98415233280000).

48006476563500 is an abundant number, since it is smaller than the sum of its proper divisors (148823989996500).

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

48006476563500 is a wasteful number, since it uses less digits than its factorization.

48006476563500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 48006476563500 in words is "forty-eight trillion, six billion, four hundred seventy-six million, five hundred sixty-three thousand, five hundred".