15901286480640 has 576 divisors, whose sum is σ = 61609787527680. Its totient is φ = 3851567677440.

The previous prime is 15901286480621. The next prime is 15901286480657. The reversal of 15901286480640 is 4608468210951.

15901286480640 is a `hidden beast` number, since 1 + 5 + 90 + 12 + 8 + 6 + 480 + 64 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461116839 + ... + 461151321.

It is an arithmetic number, because the mean of its divisors is an integer number (106961436680).

Almost surely, 2^{15901286480640} is an apocalyptic number.

15901286480640 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 15901286480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30804893763840).

15901286480640 is an abundant number, since it is smaller than the sum of its proper divisors (45708501047040).

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

15901286480640 is a wasteful number, since it uses less digits than its factorization.

15901286480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35737 (or 35717 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 15901286480640 in words is "fifteen trillion, nine hundred one billion, two hundred eighty-six million, four hundred eighty thousand, six hundred forty".