15490938120192 has 576 divisors, whose sum is σ = 48789330670080. Its totient is φ = 4900961894400.

The previous prime is 15490938120181. The next prime is 15490938120299. The reversal of 15490938120192 is 29102183909451.

It is a happy number.

15490938120192 is a `hidden beast` number, since 1 + 54 + 9 + 0 + 9 + 381 + 20 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 1499456467 + ... + 1499466797.

It is an arithmetic number, because the mean of its divisors is an integer number (84703699080).

Almost surely, 2^{15490938120192} is an apocalyptic number.

15490938120192 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 15490938120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394665335040).

15490938120192 is an abundant number, since it is smaller than the sum of its proper divisors (33298392549888).

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

15490938120192 is a wasteful number, since it uses less digits than its factorization.

15490938120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 15490938120192 in words is "fifteen trillion, four hundred ninety billion, nine hundred thirty-eight million, one hundred twenty thousand, one hundred ninety-two".