10149477550704 has 560 divisors, whose sum is σ = 30742756087680. Its totient is φ = 3242061987840.

The previous prime is 10149477550679. The next prime is 10149477550711. The reversal of 10149477550704 is 40705577494101.

10149477550704 is a `hidden beast` number, since 1 + 0 + 1 + 49 + 47 + 7 + 550 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8802668592 + ... + 8802669744.

It is an arithmetic number, because the mean of its divisors is an integer number (54897778728).

Almost surely, 2^{10149477550704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10149477550704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371378043840).

10149477550704 is an abundant number, since it is smaller than the sum of its proper divisors (20593278536976).

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

10149477550704 is a wasteful number, since it uses less digits than its factorization.

10149477550704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 10149477550704 in words is "ten trillion, one hundred forty-nine billion, four hundred seventy-seven million, five hundred fifty thousand, seven hundred four".