102019390272000 has 2560 divisors, whose sum is σ = 404092136448000. Its totient is φ = 25316101324800.

The previous prime is 102019390271993. The next prime is 102019390272103. The reversal of 102019390272000 is 272093910201.

102019390272000 is a `hidden beast` number, since 10 + 20 + 19 + 390 + 27 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 325940543844 + ... + 325940544156.

It is an arithmetic number, because the mean of its divisors is an integer number (157848490800).

Almost surely, 2^{102019390272000} is an apocalyptic number.

102019390272000 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 102019390272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202046068224000).

102019390272000 is an abundant number, since it is smaller than the sum of its proper divisors (302072746176000).

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

102019390272000 is a wasteful number, since it uses less digits than its factorization.

102019390272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 102019390272000 in words is "one hundred two trillion, nineteen billion, three hundred ninety million, two hundred seventy-two thousand".