1016191872000 has 704 divisors, whose sum is σ = 3772715980800. Its totient is φ = 269767065600.

The previous prime is 1016191871983. The next prime is 1016191872001. The reversal of 1016191872000 is 2781916101.

1016191872000 is a `hidden beast` number, since 1 + 0 + 1 + 619 + 18 + 7 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (1016191872001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 978047481 + ... + 978048519.

Almost surely, 2^{1016191872000} is an apocalyptic number.

1016191872000 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 1016191872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886357990400).

1016191872000 is an abundant number, since it is smaller than the sum of its proper divisors (2756524108800).

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

1016191872000 is a wasteful number, since it uses less digits than its factorization.

1016191872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1016191872000 in words is "one trillion, sixteen billion, one hundred ninety-one million, eight hundred seventy-two thousand".