13902586740 has 576 divisors, whose sum is σ = 55047444480. Its totient is φ = 2891427840.

The previous prime is 13902586727. The next prime is 13902586777. The reversal of 13902586740 is 4768520931.

13902586740 is a `hidden beast` number, since 1 + 390 + 258 + 6 + 7 + 4 + 0 = 666.

13902586740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13943922 + ... + 13944918.

It is an arithmetic number, because the mean of its divisors is an integer number (95568480).

It is a 1-persistent number, because it is pandigital, but 2⋅13902586740 = 27805173480 is not.

Almost surely, 2^13902586740 is an apocalyptic number.

13902586740 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 13902586740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27523722240).

13902586740 is an abundant number, since it is smaller than the sum of its proper divisors (41144857740).

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

13902586740 is a wasteful number, since it uses less digits than its factorization.

13902586740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

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

The spelling of 13902586740 in words is "thirteen billion, nine hundred two million, five hundred eighty-six thousand, seven hundred forty".