101578447872 has 1056 divisors, whose sum is σ = 366950787840. Its totient is φ = 27709931520.

The previous prime is 101578447853. The next prime is 101578447897. The reversal of 101578447872 is 278744875101.

It is a happy number.

101578447872 is a `hidden beast` number, since 10 + 15 + 7 + 84 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721668579 + ... + 1721668637.

Almost surely, 2^101578447872 is an apocalyptic number.

101578447872 is a gapful number since it is divisible by the number (12) 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 101578447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183475393920).

101578447872 is an abundant number, since it is smaller than the sum of its proper divisors (265372339968).

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

101578447872 is a wasteful number, since it uses less digits than its factorization.

101578447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 101578447872 in words is "one hundred one billion, five hundred seventy-eight million, four hundred forty-seven thousand, eight hundred seventy-two".