101738551680 has 192 divisors, whose sum is σ = 363430875600. Its totient is φ = 26194710528.

The previous prime is 101738551661. The next prime is 101738551727. The reversal of 101738551680 is 86155837101.

101738551680 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 38 + 551 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 137494 + ... + 471573.

Almost surely, 2^101738551680 is an apocalyptic number.

101738551680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101738551680 is an abundant number, since it is smaller than the sum of its proper divisors (261692323920).

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

101738551680 is a wasteful number, since it uses less digits than its factorization.

101738551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609121 (or 609106 counting only the distinct ones).

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

The spelling of 101738551680 in words is "one hundred one billion, seven hundred thirty-eight million, five hundred fifty-one thousand, six hundred eighty".