61512867040 has 192 divisors, whose sum is σ = 157646393856. Its totient is φ = 22619215872.

The previous prime is 61512866977. The next prime is 61512867047. The reversal of 61512867040 is 4076821516.

It is a super-2 number, since 2×61512867040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 61512866984 and 61512867002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61512867047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11298559 + ... + 11304001.

It is an arithmetic number, because the mean of its divisors is an integer number (821074968).

Almost surely, 2^61512867040 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 61512867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78823196928).

61512867040 is an abundant number, since it is smaller than the sum of its proper divisors (96133526816).

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

61512867040 is a wasteful number, since it uses less digits than its factorization.

61512867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 61512867040 in words is "sixty-one billion, five hundred twelve million, eight hundred sixty-seven thousand, forty".