10904749954560 has 3840 divisors, whose sum is σ = 52285624934400. Its totient is φ = 2073962741760.

The previous prime is 10904749954537. The next prime is 10904749954597. The reversal of 10904749954560 is 6545994740901.

10904749954560 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 47 + 49 + 9 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69457006002 + ... + 69457006158.

It is an arithmetic number, because the mean of its divisors is an integer number (13616048160).

Almost surely, 2^{10904749954560} is an apocalyptic number.

10904749954560 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 10904749954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142812467200).

10904749954560 is an abundant number, since it is smaller than the sum of its proper divisors (41380874979840).

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

10904749954560 is a wasteful number, since it uses less digits than its factorization.

10904749954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10904749954560 in words is "ten trillion, nine hundred four billion, seven hundred forty-nine million, nine hundred fifty-four thousand, five hundred sixty".