1951653442560 has 352 divisors, whose sum is σ = 6957314778240. Its totient is φ = 464045211648.

The previous prime is 1951653442517. The next prime is 1951653442573. The reversal of 1951653442560 is 652443561591.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764592 + ... + 5157968.

Almost surely, 2^{1951653442560} is an apocalyptic number.

1951653442560 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 1951653442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478657389120).

1951653442560 is an abundant number, since it is smaller than the sum of its proper divisors (5005661335680).

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

1951653442560 is a wasteful number, since it uses less digits than its factorization.

1951653442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393441 (or 393423 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1951653442560 in words is "one trillion, nine hundred fifty-one billion, six hundred fifty-three million, four hundred forty-two thousand, five hundred sixty".