101738488320 has 2400 divisors, whose sum is σ = 487685214720. Its totient is φ = 20065812480.

The previous prime is 101738488283. The next prime is 101738488361. The reversal of 101738488320 is 23884837101.

101738488320 is a `hidden beast` number, since 1 + 0 + 173 + 84 + 88 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3281886705 + ... + 3281886735.

Almost surely, 2^101738488320 is an apocalyptic number.

101738488320 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 101738488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243842607360).

101738488320 is an abundant number, since it is smaller than the sum of its proper divisors (385946726400).

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

101738488320 is a wasteful number, since it uses less digits than its factorization.

101738488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 101738488320 in words is "one hundred one billion, seven hundred thirty-eight million, four hundred eighty-eight thousand, three hundred twenty".