15772828136004 has 405 divisors, whose sum is σ = 44176676093319. Its totient is φ = 4906870151040.

The previous prime is 15772828135973. The next prime is 15772828136041. The reversal of 15772828136004 is 40063182827751.

The square root of 15772828136004 is 3971502.

It is a perfect power (a square), and thus also a powerful number.

15772828136004 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 2 + 8 + 28 + 1 + 3 + 600 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3001868108100 + 12770960027904 = 1732590^2 + 3573648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87142696794 + ... + 87142696974.

Almost surely, 2^{15772828136004} is an apocalyptic number.

15772828136004 is the 3971502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15772828136004

15772828136004 is an abundant number, since it is smaller than the sum of its proper divisors (28403847957315).

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

15772828136004 is an equidigital number, since it uses as much as digits as its factorization.

15772828136004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 15772828136004 in words is "fifteen trillion, seven hundred seventy-two billion, eight hundred twenty-eight million, one hundred thirty-six thousand, four".