15378678359040 has 704 divisors, whose sum is σ = 53662514400000. Its totient is φ = 3744131973120.

The previous prime is 15378678358999. The next prime is 15378678359047. The reversal of 15378678359040 is 4095387687351.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (15378678359047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5594279586 + ... + 5594282334.

It is an arithmetic number, because the mean of its divisors is an integer number (76225162500).

Almost surely, 2^{15378678359040} is an apocalyptic number.

15378678359040 is a gapful number since it is divisible by the number (10) 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 15378678359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831257200000).

15378678359040 is an abundant number, since it is smaller than the sum of its proper divisors (38283836040960).

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

15378678359040 is a wasteful number, since it uses less digits than its factorization.

15378678359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 15378678359040 in words is "fifteen trillion, three hundred seventy-eight billion, six hundred seventy-eight million, three hundred fifty-nine thousand, forty".