6261420953088 has 480 divisors, whose sum is σ = 21433541665536. Its totient is φ = 1787625013248.

The previous prime is 6261420953033. The next prime is 6261420953101. The reversal of 6261420953088 is 8803590241626.

6261420953088 is a `hidden beast` number, since 6 + 2 + 6 + 1 + 4 + 20 + 9 + 530 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1979581395 + ... + 1979584557.

Almost surely, 2^{6261420953088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6261420953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716770832768).

6261420953088 is an abundant number, since it is smaller than the sum of its proper divisors (15172120712448).

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

6261420953088 is an equidigital number, since it uses as much as digits as its factorization.

6261420953088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6261420953088 in words is "six trillion, two hundred sixty-one billion, four hundred twenty million, nine hundred fifty-three thousand, eighty-eight".