10054478947968 has 1536 divisors, whose sum is σ = 37679993971200. Its totient is φ = 2616008638464.

The previous prime is 10054478947939. The next prime is 10054478947969. The reversal of 10054478947968 is 86974987445001.

10054478947968 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 478 + 94 + 7 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10054478947896 and 10054478947905.

It is not an unprimeable number, because it can be changed into a prime (10054478947969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32122935780 + ... + 32122936092.

It is an arithmetic number, because the mean of its divisors is an integer number (24531246075).

Almost surely, 2^{10054478947968} is an apocalyptic number.

10054478947968 is a gapful number since it is divisible by the number (18) 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 10054478947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839996985600).

10054478947968 is an abundant number, since it is smaller than the sum of its proper divisors (27625515023232).

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

10054478947968 is an frugal number, since it uses more digits than its factorization.

10054478947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 10054478947968 in words is "ten trillion, fifty-four billion, four hundred seventy-eight million, nine hundred forty-seven thousand, nine hundred sixty-eight".