10487906064000 has 768 divisors, whose sum is σ = 39999082780800. Its totient is φ = 2626051276800.

The previous prime is 10487906063941. The next prime is 10487906064017. The reversal of 10487906064000 is 46060978401.

10487906064000 is a `hidden beast` number, since 104 + 87 + 9 + 0 + 60 + 6 + 400 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 309151039 + ... + 309184961.

Almost surely, 2^{10487906064000} is an apocalyptic number.

10487906064000 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 10487906064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999541390400).

10487906064000 is an abundant number, since it is smaller than the sum of its proper divisors (29511176716800).

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

10487906064000 is a wasteful number, since it uses less digits than its factorization.

10487906064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34090 (or 34065 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10487906064000 in words is "ten trillion, four hundred eighty-seven billion, nine hundred six million, sixty-four thousand".