48437435520 has 384 divisors, whose sum is σ = 175525908480. Its totient is φ = 12292300800.

The previous prime is 48437435461. The next prime is 48437435531. The reversal of 48437435520 is 2553473484.

48437435520 is a `hidden beast` number, since 4 + 84 + 3 + 7 + 43 + 5 + 520 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10889937 + ... + 10894383.

It is an arithmetic number, because the mean of its divisors is an integer number (457098720).

Almost surely, 2^48437435520 is an apocalyptic number.

48437435520 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 48437435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87762954240).

48437435520 is an abundant number, since it is smaller than the sum of its proper divisors (127088472960).

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

48437435520 is a wasteful number, since it uses less digits than its factorization.

48437435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 48437435520 in words is "forty-eight billion, four hundred thirty-seven million, four hundred thirty-five thousand, five hundred twenty".