10074128064000 has 5120 divisors, whose sum is σ = 48923460698112. Its totient is φ = 1771241472000.

The previous prime is 10074128063929. The next prime is 10074128064031. The reversal of 10074128064000 is 46082147001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 190077887974 + ... + 190077888026.

Almost surely, 2^{10074128064000} is an apocalyptic number.

10074128064000 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 10074128064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24461730349056).

10074128064000 is an abundant number, since it is smaller than the sum of its proper divisors (38849332634112).

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

10074128064000 is a wasteful number, since it uses less digits than its factorization.

10074128064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10074128064000 in words is "ten trillion, seventy-four billion, one hundred twenty-eight million, sixty-four thousand".