48062768515200 has 768 divisors, whose sum is σ = 177980354064000. Its totient is φ = 12665382912000.

The previous prime is 48062768515199. The next prime is 48062768515211. The reversal of 48062768515200 is 251586726084.

48062768515200 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 2 + 7 + 68 + 51 + 520 + 0 = 666.

It is a super-3 number, since 3×48062768515200³ (a number of 42 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4773335766 + ... + 4773345834.

Almost surely, 2^{48062768515200} is an apocalyptic number.

48062768515200 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 48062768515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88990177032000).

48062768515200 is an abundant number, since it is smaller than the sum of its proper divisors (129917585548800).

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

48062768515200 is a wasteful number, since it uses less digits than its factorization.

48062768515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 48062768515200 in words is "forty-eight trillion, sixty-two billion, seven hundred sixty-eight million, five hundred fifteen thousand, two hundred".