6261356981880 has 1536 divisors, whose sum is σ = 29249637580800. Its totient is φ = 1162182297600.

The previous prime is 6261356981879. The next prime is 6261356981903. The reversal of 6261356981880 is 881896531626.

6261356981880 is a `hidden beast` number, since 6 + 2 + 61 + 3 + 569 + 8 + 1 + 8 + 8 + 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 383 ways as a sum of consecutive naturals, for example, 301610941 + ... + 301631699.

It is an arithmetic number, because the mean of its divisors is an integer number (19042732800).

Almost surely, 2^{6261356981880} is an apocalyptic number.

6261356981880 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 6261356981880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624818790400).

6261356981880 is an abundant number, since it is smaller than the sum of its proper divisors (22988280598920).

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

6261356981880 is a wasteful number, since it uses less digits than its factorization.

6261356981880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20847 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

It can be divided in two parts, 626135698 and 1880, that added together give a triangular number (626137578 = T₃₅₃₈₇).

The spelling of 6261356981880 in words is "six trillion, two hundred sixty-one billion, three hundred fifty-six million, nine hundred eighty-one thousand, eight hundred eighty".