35956402560 has 768 divisors, whose sum is σ = 142571520000. Its totient is φ = 8277147648.

The previous prime is 35956402549. The next prime is 35956402567. The reversal of 35956402560 is 6520465953.

35956402560 is a `hidden beast` number, since 3 + 5 + 9 + 564 + 0 + 25 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35956402567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180685341 + ... + 180685539.

It is an arithmetic number, because the mean of its divisors is an integer number (185640000).

Almost surely, 2^35956402560 is an apocalyptic number.

35956402560 is a gapful number since it is divisible by the number (30) 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 35956402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760000).

35956402560 is an abundant number, since it is smaller than the sum of its proper divisors (106615117440).

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

35956402560 is a wasteful number, since it uses less digits than its factorization.

35956402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 35956 and 402560, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 35956402560 in words is "thirty-five billion, nine hundred fifty-six million, four hundred two thousand, five hundred sixty".