38966154514560 has 768 divisors, whose sum is σ = 165653207516160. Its totient is φ = 8219094810624.

The previous prime is 38966154514517. The next prime is 38966154514561. The reversal of 38966154514560 is 6541545166983.

38966154514560 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 6 + 1 + 54 + 5 + 14 + 560 = 666.

It is a super-2 number, since 2×38966154514560² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38966154514561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2339317752 + ... + 2339334408.

It is an arithmetic number, because the mean of its divisors is an integer number (215694280620).

Almost surely, 2^{38966154514560} is an apocalyptic number.

38966154514560 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 38966154514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82826603758080).

38966154514560 is an abundant number, since it is smaller than the sum of its proper divisors (126687053001600).

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

38966154514560 is a wasteful number, since it uses less digits than its factorization.

38966154514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21165 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 38966154514560 in words is "thirty-eight trillion, nine hundred sixty-six billion, one hundred fifty-four million, five hundred fourteen thousand, five hundred sixty".