10470889751040 has 960 divisors, whose sum is σ = 38777402087424. Its totient is φ = 2706478645248.

The previous prime is 10470889751033. The next prime is 10470889751057. The reversal of 10470889751040 is 4015798807401.

10470889751040 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 0 + 8 + 89 + 7 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3128438647 + ... + 3128441993.

Almost surely, 2^{10470889751040} is an apocalyptic number.

10470889751040 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 10470889751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388701043712).

10470889751040 is an abundant number, since it is smaller than the sum of its proper divisors (28306512336384).

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

10470889751040 is an equidigital number, since it uses as much as digits as its factorization.

10470889751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10470889751040 in words is "ten trillion, four hundred seventy billion, eight hundred eighty-nine million, seven hundred fifty-one thousand, forty".