101538178560 has 800 divisors, whose sum is σ = 447686471232. Its totient is φ = 21419458560.

The previous prime is 101538178549. The next prime is 101538178571. The reversal of 101538178560 is 65871835101.

101538178560 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 81 + 7 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (101538178549) and next prime (101538178571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18867070 + ... + 18872450.

Almost surely, 2^101538178560 is an apocalyptic number.

101538178560 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 101538178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223843235616).

101538178560 is an abundant number, since it is smaller than the sum of its proper divisors (346148292672).

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

101538178560 is an equidigital number, since it uses as much as digits as its factorization.

101538178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 101538178560 in words is "one hundred one billion, five hundred thirty-eight million, one hundred seventy-eight thousand, five hundred sixty".