15538880448 has 672 divisors, whose sum is σ = 57799053312. Its totient is φ = 3881779200.

The previous prime is 15538880407. The next prime is 15538880453. The reversal of 15538880448 is 84408883551.

15538880448 is a `hidden beast` number, since 1 + 553 + 8 + 8 + 80 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 15538880394 and 15538880403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118617343 + ... + 118617473.

It is an arithmetic number, because the mean of its divisors is an integer number (86010496).

Almost surely, 2^15538880448 is an apocalyptic number.

15538880448 is a gapful number since it is divisible by the number (18) 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 15538880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28899526656).

15538880448 is an abundant number, since it is smaller than the sum of its proper divisors (42260172864).

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

15538880448 is a wasteful number, since it uses less digits than its factorization.

15538880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 15538880448 in words is "fifteen billion, five hundred thirty-eight million, eight hundred eighty thousand, four hundred forty-eight".