48006804510720 has 864 divisors, whose sum is σ = 187556481337680. Its totient is φ = 11262364876800.

The previous prime is 48006804510673. The next prime is 48006804510817. The reversal of 48006804510720 is 2701540860084.

48006804510720 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 68 + 0 + 4 + 510 + 72 + 0 = 666.

It is a super-2 number, since 2×48006804510720² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 974198722 + ... + 974247998.

Almost surely, 2^{48006804510720} is an apocalyptic number.

48006804510720 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 48006804510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93778240668840).

48006804510720 is an abundant number, since it is smaller than the sum of its proper divisors (139549676826960).

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

48006804510720 is a wasteful number, since it uses less digits than its factorization.

48006804510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49383 (or 49329 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48006804510720 in words is "forty-eight trillion, six billion, eight hundred four million, five hundred ten thousand, seven hundred twenty".