1953000378616 has 96 divisors (see below), whose sum is σ = 4367217919680. Its totient is φ = 815913907200.

The previous prime is 1953000378611. The next prime is 1953000378649. The reversal of 1953000378616 is 6168730003591.

It is a hoax number, since the sum of its digits (49) 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 (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1953000378616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953000378611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19735276 + ... + 19833988.

It is an arithmetic number, because the mean of its divisors is an integer number (45491853330).

Almost surely, 2^{1953000378616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953000378616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183608959840).

1953000378616 is an abundant number, since it is smaller than the sum of its proper divisors (2414217541064).

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

1953000378616 is a wasteful number, since it uses less digits than its factorization.

1953000378616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005 (or 99994 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 1953000378616 in words is "one trillion, nine hundred fifty-three billion, three hundred seventy-eight thousand, six hundred sixteen".