48942766080 has 1152 divisors, whose sum is σ = 202838126400. Its totient is φ = 11211374592.

The previous prime is 48942765953. The next prime is 48942766087. The reversal of 48942766080 is 8066724984.

48942766080 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 27 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48942766087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549918676 + ... + 549918764.

Almost surely, 2^48942766080 is an apocalyptic number.

48942766080 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 48942766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101419063200).

48942766080 is an abundant number, since it is smaller than the sum of its proper divisors (153895360320).

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

48942766080 is a wasteful number, since it uses less digits than its factorization.

48942766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48942766080 in words is "forty-eight billion, nine hundred forty-two million, seven hundred sixty-six thousand, eighty".