38548515962880 has 3360 divisors, whose sum is σ = 176749740292608. Its totient is φ = 7835222016000.

The previous prime is 38548515962867. The next prime is 38548515962881. The reversal of 38548515962880 is 8826951584583.

It is a happy number.

38548515962880 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 8 + 5 + 1 + 596 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38548515962799 and 38548515962808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38548515962881) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 381668474830 + ... + 381668474930.

Almost surely, 2^{38548515962880} is an apocalyptic number.

38548515962880 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 38548515962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88374870146304).

38548515962880 is an abundant number, since it is smaller than the sum of its proper divisors (138201224329728).

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

38548515962880 is an equidigital number, since it uses as much as digits as its factorization.

38548515962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 38548515962880 in words is "thirty-eight trillion, five hundred forty-eight billion, five hundred fifteen million, nine hundred sixty-two thousand, eight hundred eighty".