38116468559520 has 1440 divisors, whose sum is σ = 152843346399744. Its totient is φ = 8930033049600.

The previous prime is 38116468559513. The next prime is 38116468559567. The reversal of 38116468559520 is 2595586461183.

38116468559520 is a `hidden beast` number, since 3 + 8 + 1 + 16 + 4 + 6 + 8 + 5 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4141739239 + ... + 4141748441.

Almost surely, 2^{38116468559520} is an apocalyptic number.

38116468559520 is a gapful number since it is divisible by the number (30) 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 38116468559520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76421673199872).

38116468559520 is an abundant number, since it is smaller than the sum of its proper divisors (114726877840224).

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

38116468559520 is a wasteful number, since it uses less digits than its factorization.

38116468559520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 38116468559520 in words is "thirty-eight trillion, one hundred sixteen billion, four hundred sixty-eight million, five hundred fifty-nine thousand, five hundred twenty".