16778500153140 has 384 divisors, whose sum is σ = 53505117388800. Its totient is φ = 3893050022400.

The previous prime is 16778500153057. The next prime is 16778500153141. The reversal of 16778500153140 is 4135100587761.

It is a super-3 number, since 3×16778500153140³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16778500153140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16778500153141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 363155761 + ... + 363201959.

It is an arithmetic number, because the mean of its divisors is an integer number (139336243200).

Almost surely, 2^{16778500153140} is an apocalyptic number.

16778500153140 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 16778500153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752558694400).

16778500153140 is an abundant number, since it is smaller than the sum of its proper divisors (36726617235660).

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

16778500153140 is a wasteful number, since it uses less digits than its factorization.

16778500153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46523 (or 46521 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 16778500153140 in words is "sixteen trillion, seven hundred seventy-eight billion, five hundred million, one hundred fifty-three thousand, one hundred forty".