61503551456400 has 1215 divisors, whose sum is σ = 228667942164441. Its totient is φ = 15896146164480.

The previous prime is 61503551456383. The next prime is 61503551456419. The reversal of 61503551456400 is 465415530516.

The square root of 61503551456400 is 7842420.

It is a perfect power (a square), and thus also a powerful number.

61503551456400 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 3 + 551 + 4 + 56 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22141278524304 + 39362272932096 = 4705452^2 + 6273936^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a super-2 number, since 2×61503551456400² (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 an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 597121858749 + ... + 597121858851.

Almost surely, 2^{61503551456400} is an apocalyptic number.

61503551456400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61503551456400 is the 7842420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61503551456400

61503551456400 is an abundant number, since it is smaller than the sum of its proper divisors (167164390708041).

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

61503551456400 is an frugal number, since it uses more digits than its factorization.

61503551456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

Adding to 61503551456400 its reverse (465415530516), we get a palindrome (61968966986916).

The spelling of 61503551456400 in words is "sixty-one trillion, five hundred three billion, five hundred fifty-one million, four hundred fifty-six thousand, four hundred".