6151611775440 has 80 divisors (see below), whose sum is σ = 19079537760000. Its totient is φ = 1639609053696.

The previous prime is 6151611775433. The next prime is 6151611775459. The reversal of 6151611775440 is 445771161516.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6151611775440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5931375 + ... + 6890894.

It is an arithmetic number, because the mean of its divisors is an integer number (238494222000).

Almost surely, 2^{6151611775440} is an apocalyptic number.

6151611775440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6151611775440 is an abundant number, since it is smaller than the sum of its proper divisors (12927925984560).

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

6151611775440 is a wasteful number, since it uses less digits than its factorization.

6151611775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824284 (or 12824278 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 6151611775440 in words is "six trillion, one hundred fifty-one billion, six hundred eleven million, seven hundred seventy-five thousand, four hundred forty".