60038786078100 has 216 divisors, whose sum is σ = 190800991704960. Its totient is φ = 15788550435840.

The previous prime is 60038786078099. The next prime is 60038786078101. The reversal of 60038786078100 is 187068783006.

60038786078100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60038786078099) and next prime (60038786078101).

It is a super-2 number, since 2×60038786078100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60038786078101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58289164 + ... + 59310236.

It is an arithmetic number, because the mean of its divisors is an integer number (883337924560).

Almost surely, 2^{60038786078100} is an apocalyptic number.

60038786078100 is a gapful number since it is divisible by the number (60) 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 60038786078100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95400495852480).

60038786078100 is an abundant number, since it is smaller than the sum of its proper divisors (130762205626860).

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

60038786078100 is a wasteful number, since it uses less digits than its factorization.

60038786078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021999 (or 1021989 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 60038786078100 in words is "sixty trillion, thirty-eight billion, seven hundred eighty-six million, seventy-eight thousand, one hundred".