48737162880 has 384 divisors, whose sum is σ = 193365169920. Its totient is φ = 11080433664.

The previous prime is 48737162857. The next prime is 48737162891. The reversal of 48737162880 is 8826173784.

It is a happy number.

48737162880 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 7 + 1 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48737162880² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7778629 + ... + 7784891.

It is an arithmetic number, because the mean of its divisors is an integer number (503555130).

Almost surely, 2^48737162880 is an apocalyptic number.

48737162880 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 48737162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96682584960).

48737162880 is an abundant number, since it is smaller than the sum of its proper divisors (144628007040).

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

48737162880 is a wasteful number, since it uses less digits than its factorization.

48737162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48737162880 in words is "forty-eight billion, seven hundred thirty-seven million, one hundred sixty-two thousand, eight hundred eighty".