61075049051520 has 3072 divisors, whose sum is σ = 265101432422400. Its totient is φ = 13237862400000.

The previous prime is 61075049051507. The next prime is 61075049051537. The reversal of 61075049051520 is 2515094057016.

It is a happy number.

61075049051520 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 5 + 0 + 490 + 5 + 152 + 0 = 666.

It is a super-2 number, since 2×61075049051520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 319764654625 + ... + 319764654815.

It is an arithmetic number, because the mean of its divisors is an integer number (86296039200).

Almost surely, 2^{61075049051520} is an apocalyptic number.

61075049051520 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 61075049051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132550716211200).

61075049051520 is an abundant number, since it is smaller than the sum of its proper divisors (204026383370880).

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

61075049051520 is a wasteful number, since it uses less digits than its factorization.

61075049051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 61075049051520 in words is "sixty-one trillion, seventy-five billion, forty-nine million, fifty-one thousand, five hundred twenty".