1951021236768 has 384 divisors, whose sum is σ = 5743281438720. Its totient is φ = 577044725760.

The previous prime is 1951021236767. The next prime is 1951021236793. The reversal of 1951021236768 is 8676321201591.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1951021236768.

It is not an unprimeable number, because it can be changed into a prime (1951021236767) 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, 544519905 + ... + 544523487.

It is an arithmetic number, because the mean of its divisors is an integer number (14956462080).

Almost surely, 2^{1951021236768} 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 1951021236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871640719360).

1951021236768 is an abundant number, since it is smaller than the sum of its proper divisors (3792260201952).

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

1951021236768 is a wasteful number, since it uses less digits than its factorization.

1951021236768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1951021236768 in words is "one trillion, nine hundred fifty-one billion, twenty-one million, two hundred thirty-six thousand, seven hundred sixty-eight".