61151626536 has 384 divisors, whose sum is σ = 208505456640. Its totient is φ = 14511744000.

The previous prime is 61151626519. The next prime is 61151626561. The reversal of 61151626536 is 63562615116.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 32167186 + ... + 32169086.

It is an arithmetic number, because the mean of its divisors is an integer number (542982960).

Almost surely, 2^61151626536 is an apocalyptic number.

61151626536 is a gapful number since it is divisible by the number (66) 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 61151626536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104252728320).

61151626536 is an abundant number, since it is smaller than the sum of its proper divisors (147353830104).

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

61151626536 is a wasteful number, since it uses less digits than its factorization.

61151626536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2040 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 61151626536 in words is "sixty-one billion, one hundred fifty-one million, six hundred twenty-six thousand, five hundred thirty-six".