102859619892120 has 2048 divisors, whose sum is σ = 436868038656000. Its totient is φ = 21215565619200.

The previous prime is 102859619892101. The next prime is 102859619892151. The reversal of 102859619892120 is 21298916958201.

102859619892120 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 9 + 619 + 8 + 9 + 2 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 92749882126 + ... + 92749883234.

It is an arithmetic number, because the mean of its divisors is an integer number (213314472000).

Almost surely, 2^{102859619892120} is an apocalyptic number.

102859619892120 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 102859619892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218434019328000).

102859619892120 is an abundant number, since it is smaller than the sum of its proper divisors (334008418763880).

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

102859619892120 is a wasteful number, since it uses less digits than its factorization.

102859619892120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 102859619892120 in words is "one hundred two trillion, eight hundred fifty-nine billion, six hundred nineteen million, eight hundred ninety-two thousand, one hundred twenty".