48404207819520 has 1152 divisors, whose sum is σ = 202034192640000. Its totient is φ = 10742232711168.

The previous prime is 48404207819413. The next prime is 48404207819521. The reversal of 48404207819520 is 2591870240484.

48404207819520 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 42 + 0 + 78 + 1 + 9 + 520 = 666.

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

It is a super-3 number, since 3×48404207819520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (48404207819521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4466563542 + ... + 4466574378.

Almost surely, 2^{48404207819520} is an apocalyptic number.

48404207819520 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 48404207819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101017096320000).

48404207819520 is an abundant number, since it is smaller than the sum of its proper divisors (153629984820480).

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

48404207819520 is a wasteful number, since it uses less digits than its factorization.

48404207819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 48404207819520 in words is "forty-eight trillion, four hundred four billion, two hundred seven million, eight hundred nineteen thousand, five hundred twenty".