10016954640000 has 2560 divisors, whose sum is σ = 46435935744000. Its totient is φ = 2064476160000.

The previous prime is 10016954639947. The next prime is 10016954640053. The reversal of 10016954640000 is 4645961001.

10016954640000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 9 + 5 + 4 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10016954639947) and next prime (10016954640053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38087279869 + ... + 38087280131.

It is an arithmetic number, because the mean of its divisors is an integer number (18139037400).

Almost surely, 2^{10016954640000} is an apocalyptic number.

10016954640000 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 10016954640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23217967872000).

10016954640000 is an abundant number, since it is smaller than the sum of its proper divisors (36418981104000).

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

10016954640000 is a wasteful number, since it uses less digits than its factorization.

10016954640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10016954640000 in words is "ten trillion, sixteen billion, nine hundred fifty-four million, six hundred forty thousand".