15378126041772 has 288 divisors, whose sum is σ = 46164398926464. Its totient is φ = 4271997542400.

The previous prime is 15378126041771. The next prime is 15378126041791. The reversal of 15378126041772 is 27714062187351.

15378126041772 is a `hidden beast` number, since 1 + 5 + 3 + 7 + 8 + 12 + 604 + 17 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (15378126041771) 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, 20532522 + ... + 21268302.

It is an arithmetic number, because the mean of its divisors is an integer number (160293051828).

Almost surely, 2^{15378126041772} is an apocalyptic number.

15378126041772 is a gapful number since it is divisible by the number (12) 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 15378126041772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23082199463232).

15378126041772 is an abundant number, since it is smaller than the sum of its proper divisors (30786272884692).

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

15378126041772 is a wasteful number, since it uses less digits than its factorization.

15378126041772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735929 (or 735924 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 15378126041772 in words is "fifteen trillion, three hundred seventy-eight billion, one hundred twenty-six million, forty-one thousand, seven hundred seventy-two".