13257046890 has 192 divisors, whose sum is σ = 37291363200. Its totient is φ = 3257280000.

The previous prime is 13257046877. The next prime is 13257046897. The reversal of 13257046890 is 9864075231.

13257046890 is a `hidden beast` number, since 1 + 32 + 5 + 70 + 468 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13257046897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10189240 + ... + 10190540.

It is an arithmetic number, because the mean of its divisors is an integer number (194225850).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13257046890 = 26514093780, but 3⋅13257046890 = 39771140670 is not.

Almost surely, 2^13257046890 is an apocalyptic number.

13257046890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13257046890 is the 57570-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13257046890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

13257046890 is an abundant number, since it is smaller than the sum of its proper divisors (24034316310).

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

13257046890 is a wasteful number, since it uses less digits than its factorization.

13257046890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13257046890 in words is "thirteen billion, two hundred fifty-seven million, forty-six thousand, eight hundred ninety".