61061535090400 has 576 divisors, whose sum is σ = 172524138748416. Its totient is φ = 20937719808000.

The previous prime is 61061535090359. The next prime is 61061535090449. The reversal of 61061535090400 is 409053516016.

It is a happy number.

It is a super-2 number, since 2×61061535090400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870767340 + ... + 870837460.

It is an arithmetic number, because the mean of its divisors is an integer number (299521074216).

Almost surely, 2^{61061535090400} 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 61061535090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86262069374208).

61061535090400 is an abundant number, since it is smaller than the sum of its proper divisors (111462603658016).

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

61061535090400 is a wasteful number, since it uses less digits than its factorization.

61061535090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70295 (or 70282 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 61061535090400 in words is "sixty-one trillion, sixty-one billion, five hundred thirty-five million, ninety thousand, four hundred".