9861827629536 has 96 divisors (see below), whose sum is σ = 28767090401280. Its totient is φ = 3286884279168.

The previous prime is 9861827629457. The next prime is 9861827629547. The reversal of 9861827629536 is 6359267281689.

It is a happy number.

9861827629536 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 8 + 27 + 62 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6622575 + ... + 7973841.

It is an arithmetic number, because the mean of its divisors is an integer number (299657191680).

Almost surely, 2^{9861827629536} is an apocalyptic number.

9861827629536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9861827629536 is an abundant number, since it is smaller than the sum of its proper divisors (18905262771744).

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

9861827629536 is a wasteful number, since it uses less digits than its factorization.

9861827629536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359733 (or 1359719 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 9861827629536 in words is "nine trillion, eight hundred sixty-one billion, eight hundred twenty-seven million, six hundred twenty-nine thousand, five hundred thirty-six".